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Finding the Fourth Proportional to 208,385.80, 287,572.02 and 112,894.88

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Solution

The fourth proportional to 208,385.80, 287,572.02 and 112,894.88 is: 155,794.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,385.80 : 287,572.02 = 112,894.88 : x
  2. Step 2: Convert to fraction form
    208,385.80/287,572.02 = 112,894.88/x
  3. Step 3: Cross multiply
    208,385.80x = 287,572.02 × 112,894.88
  4. Step 4: Simplify right side
    208,385.80x = 32,465,408,689.26
  5. Step 5: Solve for x
    x = 32,465,408,689.26/208,385.80
  6. Step 6: Final answer
    x = 155,794.73

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1.5x scale

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.