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Finding the Fourth Proportional to 232,874.76, 349,312.14 and 75,103.21

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Solution

The fourth proportional to 232,874.76, 349,312.14 and 75,103.21 is: 112,654.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,874.76 : 349,312.14 = 75,103.21 : x
  2. Step 2: Convert to fraction form
    232,874.76/349,312.14 = 75,103.21/x
  3. Step 3: Cross multiply
    232,874.76x = 349,312.14 × 75,103.21
  4. Step 4: Simplify right side
    232,874.76x = 26,234,462,193.81
  5. Step 5: Solve for x
    x = 26,234,462,193.81/232,874.76
  6. Step 6: Final answer
    x = 112,654.81

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1.5x scale

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.