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Finding the Fourth Proportional to 142,882.49, 214,307.28 and 37,709.66

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Solution

The fourth proportional to 142,882.49, 214,307.28 and 37,709.66 is: 56,560.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,882.49 : 214,307.28 = 37,709.66 : x
  2. Step 2: Convert to fraction form
    142,882.49/214,307.28 = 37,709.66/x
  3. Step 3: Cross multiply
    142,882.49x = 214,307.28 × 37,709.66
  4. Step 4: Simplify right side
    142,882.49x = 8,081,453,592.79
  5. Step 5: Solve for x
    x = 8,081,453,592.79/142,882.49
  6. Step 6: Final answer
    x = 56,560.14

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