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Finding the Fourth Proportional to 287,711.63, 431,549.36 and 88,016.15

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Solution

The fourth proportional to 287,711.63, 431,549.36 and 88,016.15 is: 132,018.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,711.63 : 431,549.36 = 88,016.15 : x
  2. Step 2: Convert to fraction form
    287,711.63/431,549.36 = 88,016.15/x
  3. Step 3: Cross multiply
    287,711.63x = 431,549.36 × 88,016.15
  4. Step 4: Simplify right side
    287,711.63x = 37,983,311,264.46
  5. Step 5: Solve for x
    x = 37,983,311,264.46/287,711.63
  6. Step 6: Final answer
    x = 132,018.69

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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.