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Finding the Fourth Proportional to 309,773.94, 464,709.53 and 132,281.88

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Solution

The fourth proportional to 309,773.94, 464,709.53 and 132,281.88 is: 198,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,773.94 : 464,709.53 = 132,281.88 : x
  2. Step 2: Convert to fraction form
    309,773.94/464,709.53 = 132,281.88/x
  3. Step 3: Cross multiply
    309,773.94x = 464,709.53 × 132,281.88
  4. Step 4: Simplify right side
    309,773.94x = 61,472,650,282.32
  5. Step 5: Solve for x
    x = 61,472,650,282.32/309,773.94
  6. Step 6: Final answer
    x = 198,443.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.