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Finding the Fourth Proportional to 102,353.78, 141,246.32 and 57,030.78

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Solution

The fourth proportional to 102,353.78, 141,246.32 and 57,030.78 is: 78,701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,353.78 : 141,246.32 = 57,030.78 : x
  2. Step 2: Convert to fraction form
    102,353.78/141,246.32 = 57,030.78/x
  3. Step 3: Cross multiply
    102,353.78x = 141,246.32 × 57,030.78
  4. Step 4: Simplify right side
    102,353.78x = 8,055,387,516.58
  5. Step 5: Solve for x
    x = 8,055,387,516.58/102,353.78
  6. Step 6: Final answer
    x = 78,701.42

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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.