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Finding the Fourth Proportional to 102,539.32, 141,460.63 and 64,272.74

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Solution

The fourth proportional to 102,539.32, 141,460.63 and 64,272.74 is: 88,669.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,539.32 : 141,460.63 = 64,272.74 : x
  2. Step 2: Convert to fraction form
    102,539.32/141,460.63 = 64,272.74/x
  3. Step 3: Cross multiply
    102,539.32x = 141,460.63 × 64,272.74
  4. Step 4: Simplify right side
    102,539.32x = 9,092,062,219.96
  5. Step 5: Solve for x
    x = 9,092,062,219.96/102,539.32
  6. Step 6: Final answer
    x = 88,669.03

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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.