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Finding the Fourth Proportional to 104,301.60, 156,490.80 and 41,978.40

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Solution

The fourth proportional to 104,301.60, 156,490.80 and 41,978.40 is: 62,983.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,301.60 : 156,490.80 = 41,978.40 : x
  2. Step 2: Convert to fraction form
    104,301.60/156,490.80 = 41,978.40/x
  3. Step 3: Cross multiply
    104,301.60x = 156,490.80 × 41,978.40
  4. Step 4: Simplify right side
    104,301.60x = 6,569,233,398.72
  5. Step 5: Solve for x
    x = 6,569,233,398.72/104,301.60
  6. Step 6: Final answer
    x = 62,983.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.