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Finding the Fourth Proportional to 208,052.13, 287,114.01 and 112,560.88

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Solution

The fourth proportional to 208,052.13, 287,114.01 and 112,560.88 is: 155,335.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,052.13 : 287,114.01 = 112,560.88 : x
  2. Step 2: Convert to fraction form
    208,052.13/287,114.01 = 112,560.88/x
  3. Step 3: Cross multiply
    208,052.13x = 287,114.01 × 112,560.88
  4. Step 4: Simplify right side
    208,052.13x = 32,317,805,625.93
  5. Step 5: Solve for x
    x = 32,317,805,625.93/208,052.13
  6. Step 6: Final answer
    x = 155,335.13

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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.