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Finding the Fourth Proportional to 78,102, 117,188.70 and 42,510

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Solution

The fourth proportional to 78,102, 117,188.70 and 42,510 is: 63,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,102 : 117,188.70 = 42,510 : x
  2. Step 2: Convert to fraction form
    78,102/117,188.70 = 42,510/x
  3. Step 3: Cross multiply
    78,102x = 117,188.70 × 42,510
  4. Step 4: Simplify right side
    78,102x = 4,981,691,637
  5. Step 5: Solve for x
    x = 4,981,691,637/78,102
  6. Step 6: Final answer
    x = 63,784.43

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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.