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Finding the Fourth Proportional to 229,180.38, 316,264.16 and 127,199.86

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Solution

The fourth proportional to 229,180.38, 316,264.16 and 127,199.86 is: 175,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,180.38 : 316,264.16 = 127,199.86 : x
  2. Step 2: Convert to fraction form
    229,180.38/316,264.16 = 127,199.86/x
  3. Step 3: Cross multiply
    229,180.38x = 316,264.16 × 127,199.86
  4. Step 4: Simplify right side
    229,180.38x = 40,228,755,448.36
  5. Step 5: Solve for x
    x = 40,228,755,448.36/229,180.38
  6. Step 6: Final answer
    x = 175,533.16

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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.