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Finding the Fourth Proportional to 102,378.78, 141,283.28 and 59,383.74

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Solution

The fourth proportional to 102,378.78, 141,283.28 and 59,383.74 is: 81,949.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,378.78 : 141,283.28 = 59,383.74 : x
  2. Step 2: Convert to fraction form
    102,378.78/141,283.28 = 59,383.74/x
  3. Step 3: Cross multiply
    102,378.78x = 141,283.28 × 59,383.74
  4. Step 4: Simplify right side
    102,378.78x = 8,389,929,565.87
  5. Step 5: Solve for x
    x = 8,389,929,565.87/102,378.78
  6. Step 6: Final answer
    x = 81,949.89

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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.