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Finding the Fourth Proportional to 142,055.38, 212,824.65 and 82,711.14

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Solution

The fourth proportional to 142,055.38, 212,824.65 and 82,711.14 is: 123,916.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,055.38 : 212,824.65 = 82,711.14 : x
  2. Step 2: Convert to fraction form
    142,055.38/212,824.65 = 82,711.14/x
  3. Step 3: Cross multiply
    142,055.38x = 212,824.65 × 82,711.14
  4. Step 4: Simplify right side
    142,055.38x = 17,602,969,421.60
  5. Step 5: Solve for x
    x = 17,602,969,421.60/142,055.38
  6. Step 6: Final answer
    x = 123,916.25

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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.