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Finding the Fourth Proportional to 229,894.16, 317,206.40 and 134,382.38

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Solution

The fourth proportional to 229,894.16, 317,206.40 and 134,382.38 is: 185,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,894.16 : 317,206.40 = 134,382.38 : x
  2. Step 2: Convert to fraction form
    229,894.16/317,206.40 = 134,382.38/x
  3. Step 3: Cross multiply
    229,894.16x = 317,206.40 × 134,382.38
  4. Step 4: Simplify right side
    229,894.16x = 42,626,950,983.23
  5. Step 5: Solve for x
    x = 42,626,950,983.23/229,894.16
  6. Step 6: Final answer
    x = 185,419.89

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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.