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Finding the Fourth Proportional to 229,007.80, 316,035.84 and 127,029.95

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Solution

The fourth proportional to 229,007.80, 316,035.84 and 127,029.95 is: 175,304.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,007.80 : 316,035.84 = 127,029.95 : x
  2. Step 2: Convert to fraction form
    229,007.80/316,035.84 = 127,029.95/x
  3. Step 3: Cross multiply
    229,007.80x = 316,035.84 × 127,029.95
  4. Step 4: Simplify right side
    229,007.80x = 40,146,016,953.41
  5. Step 5: Solve for x
    x = 40,146,016,953.41/229,007.80
  6. Step 6: Final answer
    x = 175,304.15

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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.