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Finding the Fourth Proportional to 287,515.32, 431,097.30 and 137,801.40

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Solution

The fourth proportional to 287,515.32, 431,097.30 and 137,801.40 is: 206,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,515.32 : 431,097.30 = 137,801.40 : x
  2. Step 2: Convert to fraction form
    287,515.32/431,097.30 = 137,801.40/x
  3. Step 3: Cross multiply
    287,515.32x = 431,097.30 × 137,801.40
  4. Step 4: Simplify right side
    287,515.32x = 59,405,811,476.22
  5. Step 5: Solve for x
    x = 59,405,811,476.22/287,515.32
  6. Step 6: Final answer
    x = 206,617.90

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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.