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Finding the Fourth Proportional to 232,706.20, 349,232.10 and 92,565.40

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Solution

The fourth proportional to 232,706.20, 349,232.10 and 92,565.40 is: 138,916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,706.20 : 349,232.10 = 92,565.40 : x
  2. Step 2: Convert to fraction form
    232,706.20/349,232.10 = 92,565.40/x
  3. Step 3: Cross multiply
    232,706.20x = 349,232.10 × 92,565.40
  4. Step 4: Simplify right side
    232,706.20x = 32,326,809,029.34
  5. Step 5: Solve for x
    x = 32,326,809,029.34/232,706.20
  6. Step 6: Final answer
    x = 138,916.84

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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.