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Finding the Fourth Proportional to 232,697.88, 348,931.87 and 136,659.18

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Solution

The fourth proportional to 232,697.88, 348,931.87 and 136,659.18 is: 204,921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,697.88 : 348,931.87 = 136,659.18 : x
  2. Step 2: Convert to fraction form
    232,697.88/348,931.87 = 136,659.18/x
  3. Step 3: Cross multiply
    232,697.88x = 348,931.87 × 136,659.18
  4. Step 4: Simplify right side
    232,697.88x = 47,684,744,196.91
  5. Step 5: Solve for x
    x = 47,684,744,196.91/232,697.88
  6. Step 6: Final answer
    x = 204,921.27

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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.