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Finding the Fourth Proportional to 133,950.06, 200,784.78 and 45,172.98

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Solution

The fourth proportional to 133,950.06, 200,784.78 and 45,172.98 is: 67,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,950.06 : 200,784.78 = 45,172.98 : x
  2. Step 2: Convert to fraction form
    133,950.06/200,784.78 = 45,172.98/x
  3. Step 3: Cross multiply
    133,950.06x = 200,784.78 × 45,172.98
  4. Step 4: Simplify right side
    133,950.06x = 9,070,046,851.24
  5. Step 5: Solve for x
    x = 9,070,046,851.24/133,950.06
  6. Step 6: Final answer
    x = 67,712.15

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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.