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Finding the Fourth Proportional to 229,431.79, 316,605.61 and 127,463.83

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Solution

The fourth proportional to 229,431.79, 316,605.61 and 127,463.83 is: 175,894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,431.79 : 316,605.61 = 127,463.83 : x
  2. Step 2: Convert to fraction form
    229,431.79/316,605.61 = 127,463.83/x
  3. Step 3: Cross multiply
    229,431.79x = 316,605.61 × 127,463.83
  4. Step 4: Simplify right side
    229,431.79x = 40,355,763,017.90
  5. Step 5: Solve for x
    x = 40,355,763,017.90/229,431.79
  6. Step 6: Final answer
    x = 175,894.38

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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.