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Finding the Fourth Proportional to 261,932.40, 361,468.17 and 153,043.14

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Solution

The fourth proportional to 261,932.40, 361,468.17 and 153,043.14 is: 211,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,932.40 : 361,468.17 = 153,043.14 : x
  2. Step 2: Convert to fraction form
    261,932.40/361,468.17 = 153,043.14/x
  3. Step 3: Cross multiply
    261,932.40x = 361,468.17 × 153,043.14
  4. Step 4: Simplify right side
    261,932.40x = 55,320,223,746.85
  5. Step 5: Solve for x
    x = 55,320,223,746.85/261,932.40
  6. Step 6: Final answer
    x = 211,200.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.