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Finding the Fourth Proportional to 127,258.92, 190,862.46 and 48,345.48

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Solution

The fourth proportional to 127,258.92, 190,862.46 and 48,345.48 is: 72,508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,258.92 : 190,862.46 = 48,345.48 : x
  2. Step 2: Convert to fraction form
    127,258.92/190,862.46 = 48,345.48/x
  3. Step 3: Cross multiply
    127,258.92x = 190,862.46 × 48,345.48
  4. Step 4: Simplify right side
    127,258.92x = 9,227,337,242.68
  5. Step 5: Solve for x
    x = 9,227,337,242.68/127,258.92
  6. Step 6: Final answer
    x = 72,508.37

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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.