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Finding the Fourth Proportional to 229,223.52, 316,320.24 and 127,253.40

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Solution

The fourth proportional to 229,223.52, 316,320.24 and 127,253.40 is: 175,605.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,223.52 : 316,320.24 = 127,253.40 : x
  2. Step 2: Convert to fraction form
    229,223.52/316,320.24 = 127,253.40/x
  3. Step 3: Cross multiply
    229,223.52x = 316,320.24 × 127,253.40
  4. Step 4: Simplify right side
    229,223.52x = 40,252,826,028.82
  5. Step 5: Solve for x
    x = 40,252,826,028.82/229,223.52
  6. Step 6: Final answer
    x = 175,605.13

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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.