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Finding the Fourth Proportional to 102,417.64, 141,336.90 and 57,098.50

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Solution

The fourth proportional to 102,417.64, 141,336.90 and 57,098.50 is: 78,796.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,417.64 : 141,336.90 = 57,098.50 : x
  2. Step 2: Convert to fraction form
    102,417.64/141,336.90 = 57,098.50/x
  3. Step 3: Cross multiply
    102,417.64x = 141,336.90 × 57,098.50
  4. Step 4: Simplify right side
    102,417.64x = 8,070,124,984.65
  5. Step 5: Solve for x
    x = 8,070,124,984.65/102,417.64
  6. Step 6: Final answer
    x = 78,796.24

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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.