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Finding the Fourth Proportional to 232,590.70, 349,214.10 and 144,017.20

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Solution

The fourth proportional to 232,590.70, 349,214.10 and 144,017.20 is: 216,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,590.70 : 349,214.10 = 144,017.20 : x
  2. Step 2: Convert to fraction form
    232,590.70/349,214.10 = 144,017.20/x
  3. Step 3: Cross multiply
    232,590.70x = 349,214.10 × 144,017.20
  4. Step 4: Simplify right side
    232,590.70x = 50,292,836,882.52
  5. Step 5: Solve for x
    x = 50,292,836,882.52/232,590.70
  6. Step 6: Final answer
    x = 216,228.92

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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.