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Finding the Fourth Proportional to 333,780.32, 500,701.28 and 109,141.92

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Solution

The fourth proportional to 333,780.32, 500,701.28 and 109,141.92 is: 163,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,780.32 : 500,701.28 = 109,141.92 : x
  2. Step 2: Convert to fraction form
    333,780.32/500,701.28 = 109,141.92/x
  3. Step 3: Cross multiply
    333,780.32x = 500,701.28 × 109,141.92
  4. Step 4: Simplify right side
    333,780.32x = 54,647,499,045.66
  5. Step 5: Solve for x
    x = 54,647,499,045.66/333,780.32
  6. Step 6: Final answer
    x = 163,722.95

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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.