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Finding the Fourth Proportional to 102,470.64, 141,421.02 and 62,194.20

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Solution

The fourth proportional to 102,470.64, 141,421.02 and 62,194.20 is: 85,835.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,470.64 : 141,421.02 = 62,194.20 : x
  2. Step 2: Convert to fraction form
    102,470.64/141,421.02 = 62,194.20/x
  3. Step 3: Cross multiply
    102,470.64x = 141,421.02 × 62,194.20
  4. Step 4: Simplify right side
    102,470.64x = 8,795,567,202.08
  5. Step 5: Solve for x
    x = 8,795,567,202.08/102,470.64
  6. Step 6: Final answer
    x = 85,835.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.