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Finding the Fourth Proportional to 229,873.14, 317,226.51 and 127,902.92

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Solution

The fourth proportional to 229,873.14, 317,226.51 and 127,902.92 is: 176,506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,873.14 : 317,226.51 = 127,902.92 : x
  2. Step 2: Convert to fraction form
    229,873.14/317,226.51 = 127,902.92/x
  3. Step 3: Cross multiply
    229,873.14x = 317,226.51 × 127,902.92
  4. Step 4: Simplify right side
    229,873.14x = 40,574,195,344.28
  5. Step 5: Solve for x
    x = 40,574,195,344.28/229,873.14
  6. Step 6: Final answer
    x = 176,506.90

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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.