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Finding the Fourth Proportional to 82,841.60, 124,262.40 and 71,566.40

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Solution

The fourth proportional to 82,841.60, 124,262.40 and 71,566.40 is: 107,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,841.60 : 124,262.40 = 71,566.40 : x
  2. Step 2: Convert to fraction form
    82,841.60/124,262.40 = 71,566.40/x
  3. Step 3: Cross multiply
    82,841.60x = 124,262.40 × 71,566.40
  4. Step 4: Simplify right side
    82,841.60x = 8,893,012,623.36
  5. Step 5: Solve for x
    x = 8,893,012,623.36/82,841.60
  6. Step 6: Final answer
    x = 107,349.60

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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.