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Finding the Fourth Proportional to 287,534.80, 431,431.80 and 137,717.20

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Solution

The fourth proportional to 287,534.80, 431,431.80 and 137,717.20 is: 206,637.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,534.80 : 431,431.80 = 137,717.20 : x
  2. Step 2: Convert to fraction form
    287,534.80/431,431.80 = 137,717.20/x
  3. Step 3: Cross multiply
    287,534.80x = 431,431.80 × 137,717.20
  4. Step 4: Simplify right side
    287,534.80x = 59,415,579,486.96
  5. Step 5: Solve for x
    x = 59,415,579,486.96/287,534.80
  6. Step 6: Final answer
    x = 206,637.87

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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.