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Finding the Fourth Proportional to 102,588.12, 141,460.02 and 66,711.60

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Solution

The fourth proportional to 102,588.12, 141,460.02 and 66,711.60 is: 91,989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,588.12 : 141,460.02 = 66,711.60 : x
  2. Step 2: Convert to fraction form
    102,588.12/141,460.02 = 66,711.60/x
  3. Step 3: Cross multiply
    102,588.12x = 141,460.02 × 66,711.60
  4. Step 4: Simplify right side
    102,588.12x = 9,437,024,270.23
  5. Step 5: Solve for x
    x = 9,437,024,270.23/102,588.12
  6. Step 6: Final answer
    x = 91,989.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.