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Finding the Fourth Proportional to 232,686.40, 349,079.20 and 132,894.40

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Solution

The fourth proportional to 232,686.40, 349,079.20 and 132,894.40 is: 199,369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,686.40 : 349,079.20 = 132,894.40 : x
  2. Step 2: Convert to fraction form
    232,686.40/349,079.20 = 132,894.40/x
  3. Step 3: Cross multiply
    232,686.40x = 349,079.20 × 132,894.40
  4. Step 4: Simplify right side
    232,686.40x = 46,390,670,836.48
  5. Step 5: Solve for x
    x = 46,390,670,836.48/232,686.40
  6. Step 6: Final answer
    x = 199,369.93

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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.