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Finding the Fourth Proportional to 133,160,140, 199,740,210 and 37,422,028

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Solution

The fourth proportional to 133,160,140, 199,740,210 and 37,422,028 is: 56,133,042

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,160,140 : 199,740,210 = 37,422,028 : x
  2. Step 2: Convert to fraction form
    133,160,140/199,740,210 = 37,422,028/x
  3. Step 3: Cross multiply
    133,160,140x = 199,740,210 × 37,422,028
  4. Step 4: Simplify right side
    133,160,140x = 7,474,683,731,345,880
  5. Step 5: Solve for x
    x = 7,474,683,731,345,880/133,160,140
  6. Step 6: Final answer
    x = 56,133,042

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.