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Finding the Fourth Proportional to 154,714.60, 232,115.10 and 75,831.40

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Solution

The fourth proportional to 154,714.60, 232,115.10 and 75,831.40 is: 113,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,714.60 : 232,115.10 = 75,831.40 : x
  2. Step 2: Convert to fraction form
    154,714.60/232,115.10 = 75,831.40/x
  3. Step 3: Cross multiply
    154,714.60x = 232,115.10 × 75,831.40
  4. Step 4: Simplify right side
    154,714.60x = 17,601,612,994.14
  5. Step 5: Solve for x
    x = 17,601,612,994.14/154,714.60
  6. Step 6: Final answer
    x = 113,768.27

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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.