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Finding the Fourth Proportional to 458,601.60, 687,999.60 and 138,727.20

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Solution

The fourth proportional to 458,601.60, 687,999.60 and 138,727.20 is: 208,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,601.60 : 687,999.60 = 138,727.20 : x
  2. Step 2: Convert to fraction form
    458,601.60/687,999.60 = 138,727.20/x
  3. Step 3: Cross multiply
    458,601.60x = 687,999.60 × 138,727.20
  4. Step 4: Simplify right side
    458,601.60x = 95,444,258,109.12
  5. Step 5: Solve for x
    x = 95,444,258,109.12/458,601.60
  6. Step 6: Final answer
    x = 208,120.20

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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.