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Finding the Fourth Proportional to 146,232, 219,346.92 and 41,050.98

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Solution

The fourth proportional to 146,232, 219,346.92 and 41,050.98 is: 61,576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,232 : 219,346.92 = 41,050.98 : x
  2. Step 2: Convert to fraction form
    146,232/219,346.92 = 41,050.98/x
  3. Step 3: Cross multiply
    146,232x = 219,346.92 × 41,050.98
  4. Step 4: Simplify right side
    146,232x = 9,004,406,025.98
  5. Step 5: Solve for x
    x = 9,004,406,025.98/146,232
  6. Step 6: Final answer
    x = 61,576.17

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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.