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Finding the Fourth Proportional to 104,409.60, 156,614.40 and 34,291.20

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Solution

The fourth proportional to 104,409.60, 156,614.40 and 34,291.20 is: 51,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,409.60 : 156,614.40 = 34,291.20 : x
  2. Step 2: Convert to fraction form
    104,409.60/156,614.40 = 34,291.20/x
  3. Step 3: Cross multiply
    104,409.60x = 156,614.40 × 34,291.20
  4. Step 4: Simplify right side
    104,409.60x = 5,370,495,713.28
  5. Step 5: Solve for x
    x = 5,370,495,713.28/104,409.60
  6. Step 6: Final answer
    x = 51,436.80

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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.