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Finding the Fourth Proportional to 229,044.71, 316,083.61 and 127,076.86

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Solution

The fourth proportional to 229,044.71, 316,083.61 and 127,076.86 is: 175,367.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,044.71 : 316,083.61 = 127,076.86 : x
  2. Step 2: Convert to fraction form
    229,044.71/316,083.61 = 127,076.86/x
  3. Step 3: Cross multiply
    229,044.71x = 316,083.61 × 127,076.86
  4. Step 4: Simplify right side
    229,044.71x = 40,166,911,963.83
  5. Step 5: Solve for x
    x = 40,166,911,963.83/229,044.71
  6. Step 6: Final answer
    x = 175,367.12

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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.