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Finding the Fourth Proportional to 229,005.97, 316,047.62 and 127,064.23

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Solution

The fourth proportional to 229,005.97, 316,047.62 and 127,064.23 is: 175,359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,005.97 : 316,047.62 = 127,064.23 : x
  2. Step 2: Convert to fraction form
    229,005.97/316,047.62 = 127,064.23/x
  3. Step 3: Cross multiply
    229,005.97x = 316,047.62 × 127,064.23
  4. Step 4: Simplify right side
    229,005.97x = 40,158,347,006.17
  5. Step 5: Solve for x
    x = 40,158,347,006.17/229,005.97
  6. Step 6: Final answer
    x = 175,359.39

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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.