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Finding the Fourth Proportional to 142,040.17, 213,043.65 and 118,497.52

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Solution

The fourth proportional to 142,040.17, 213,043.65 and 118,497.52 is: 177,732.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,040.17 : 213,043.65 = 118,497.52 : x
  2. Step 2: Convert to fraction form
    142,040.17/213,043.65 = 118,497.52/x
  3. Step 3: Cross multiply
    142,040.17x = 213,043.65 × 118,497.52
  4. Step 4: Simplify right side
    142,040.17x = 25,245,144,176.75
  5. Step 5: Solve for x
    x = 25,245,144,176.75/142,040.17
  6. Step 6: Final answer
    x = 177,732.43

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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.