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Finding the Fourth Proportional to 258,114.60, 387,023 and 100,158.48

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Solution

The fourth proportional to 258,114.60, 387,023 and 100,158.48 is: 150,179.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,114.60 : 387,023 = 100,158.48 : x
  2. Step 2: Convert to fraction form
    258,114.60/387,023 = 100,158.48/x
  3. Step 3: Cross multiply
    258,114.60x = 387,023 × 100,158.48
  4. Step 4: Simplify right side
    258,114.60x = 38,763,635,405.04
  5. Step 5: Solve for x
    x = 38,763,635,405.04/258,114.60
  6. Step 6: Final answer
    x = 150,179.94

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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.