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Finding the Fourth Proportional to 229,774.68, 317,068.14 and 132,961.80

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Solution

The fourth proportional to 229,774.68, 317,068.14 and 132,961.80 is: 183,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,774.68 : 317,068.14 = 132,961.80 : x
  2. Step 2: Convert to fraction form
    229,774.68/317,068.14 = 132,961.80/x
  3. Step 3: Cross multiply
    229,774.68x = 317,068.14 × 132,961.80
  4. Step 4: Simplify right side
    229,774.68x = 42,157,950,617.05
  5. Step 5: Solve for x
    x = 42,157,950,617.05/229,774.68
  6. Step 6: Final answer
    x = 183,475.18

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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.