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Finding the Fourth Proportional to 142,043.61, 213,146.82 and 57,788.22

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Solution

The fourth proportional to 142,043.61, 213,146.82 and 57,788.22 is: 86,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,043.61 : 213,146.82 = 57,788.22 : x
  2. Step 2: Convert to fraction form
    142,043.61/213,146.82 = 57,788.22/x
  3. Step 3: Cross multiply
    142,043.61x = 213,146.82 × 57,788.22
  4. Step 4: Simplify right side
    142,043.61x = 12,317,375,326.46
  5. Step 5: Solve for x
    x = 12,317,375,326.46/142,043.61
  6. Step 6: Final answer
    x = 86,715.45

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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.