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Finding the Fourth Proportional to 115,534.60, 172,917.90 and 83,854.60

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Solution

The fourth proportional to 115,534.60, 172,917.90 and 83,854.60 is: 125,503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,534.60 : 172,917.90 = 83,854.60 : x
  2. Step 2: Convert to fraction form
    115,534.60/172,917.90 = 83,854.60/x
  3. Step 3: Cross multiply
    115,534.60x = 172,917.90 × 83,854.60
  4. Step 4: Simplify right side
    115,534.60x = 14,499,961,337.34
  5. Step 5: Solve for x
    x = 14,499,961,337.34/115,534.60
  6. Step 6: Final answer
    x = 125,503.19

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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.