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Finding the Fourth Proportional to 142,292.28, 213,430.70 and 72,169.76

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Solution

The fourth proportional to 142,292.28, 213,430.70 and 72,169.76 is: 108,250.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,292.28 : 213,430.70 = 72,169.76 : x
  2. Step 2: Convert to fraction form
    142,292.28/213,430.70 = 72,169.76/x
  3. Step 3: Cross multiply
    142,292.28x = 213,430.70 × 72,169.76
  4. Step 4: Simplify right side
    142,292.28x = 15,403,242,395.63
  5. Step 5: Solve for x
    x = 15,403,242,395.63/142,292.28
  6. Step 6: Final answer
    x = 108,250.72

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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.