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Finding the Fourth Proportional to 228,432.18, 342,026.19 and 177,654.90

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Solution

The fourth proportional to 228,432.18, 342,026.19 and 177,654.90 is: 265,998.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,432.18 : 342,026.19 = 177,654.90 : x
  2. Step 2: Convert to fraction form
    228,432.18/342,026.19 = 177,654.90/x
  3. Step 3: Cross multiply
    228,432.18x = 342,026.19 × 177,654.90
  4. Step 4: Simplify right side
    228,432.18x = 60,762,628,581.83
  5. Step 5: Solve for x
    x = 60,762,628,581.83/228,432.18
  6. Step 6: Final answer
    x = 265,998.55

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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.