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Finding the Fourth Proportional to 230,354.32, 317,899.76 and 134,891.76

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Solution

The fourth proportional to 230,354.32, 317,899.76 and 134,891.76 is: 186,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,354.32 : 317,899.76 = 134,891.76 : x
  2. Step 2: Convert to fraction form
    230,354.32/317,899.76 = 134,891.76/x
  3. Step 3: Cross multiply
    230,354.32x = 317,899.76 × 134,891.76
  4. Step 4: Simplify right side
    230,354.32x = 42,882,058,129.98
  5. Step 5: Solve for x
    x = 42,882,058,129.98/230,354.32
  6. Step 6: Final answer
    x = 186,156.95

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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.