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Finding the Fourth Proportional to 102,642.48, 141,643.86 and 57,319.20

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Solution

The fourth proportional to 102,642.48, 141,643.86 and 57,319.20 is: 79,098.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,642.48 : 141,643.86 = 57,319.20 : x
  2. Step 2: Convert to fraction form
    102,642.48/141,643.86 = 57,319.20/x
  3. Step 3: Cross multiply
    102,642.48x = 141,643.86 × 57,319.20
  4. Step 4: Simplify right side
    102,642.48x = 8,118,912,740.11
  5. Step 5: Solve for x
    x = 8,118,912,740.11/102,642.48
  6. Step 6: Final answer
    x = 79,098.95

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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.