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Finding the Fourth Proportional to 142,140.38, 213,173.40 and 42,273.68

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Solution

The fourth proportional to 142,140.38, 213,173.40 and 42,273.68 is: 63,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,140.38 : 213,173.40 = 42,273.68 : x
  2. Step 2: Convert to fraction form
    142,140.38/213,173.40 = 42,273.68/x
  3. Step 3: Cross multiply
    142,140.38x = 213,173.40 × 42,273.68
  4. Step 4: Simplify right side
    142,140.38x = 9,011,624,096.11
  5. Step 5: Solve for x
    x = 9,011,624,096.11/142,140.38
  6. Step 6: Final answer
    x = 63,399.47

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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.