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Finding the Fourth Proportional to 232,186.68, 348,280.02 and 185,734.80

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Solution

The fourth proportional to 232,186.68, 348,280.02 and 185,734.80 is: 278,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,186.68 : 348,280.02 = 185,734.80 : x
  2. Step 2: Convert to fraction form
    232,186.68/348,280.02 = 185,734.80/x
  3. Step 3: Cross multiply
    232,186.68x = 348,280.02 × 185,734.80
  4. Step 4: Simplify right side
    232,186.68x = 64,687,719,858.70
  5. Step 5: Solve for x
    x = 64,687,719,858.70/232,186.68
  6. Step 6: Final answer
    x = 278,602.20

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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.