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Finding the Fourth Proportional to 152,382.80, 228,833.40 and 112,984.40

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Solution

The fourth proportional to 152,382.80, 228,833.40 and 112,984.40 is: 169,668.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,382.80 : 228,833.40 = 112,984.40 : x
  2. Step 2: Convert to fraction form
    152,382.80/228,833.40 = 112,984.40/x
  3. Step 3: Cross multiply
    152,382.80x = 228,833.40 × 112,984.40
  4. Step 4: Simplify right side
    152,382.80x = 25,854,604,398.96
  5. Step 5: Solve for x
    x = 25,854,604,398.96/152,382.80
  6. Step 6: Final answer
    x = 169,668.78

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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.