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Finding the Fourth Proportional to 142,092.60, 213,060.40 and 89,389.32

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Solution

The fourth proportional to 142,092.60, 213,060.40 and 89,389.32 is: 134,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,092.60 : 213,060.40 = 89,389.32 : x
  2. Step 2: Convert to fraction form
    142,092.60/213,060.40 = 89,389.32/x
  3. Step 3: Cross multiply
    142,092.60x = 213,060.40 × 89,389.32
  4. Step 4: Simplify right side
    142,092.60x = 19,045,324,274.93
  5. Step 5: Solve for x
    x = 19,045,324,274.93/142,092.60
  6. Step 6: Final answer
    x = 134,034.60

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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.