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Finding the Fourth Proportional to 287,371.80, 431,057.70 and 109,884.60

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Solution

The fourth proportional to 287,371.80, 431,057.70 and 109,884.60 is: 164,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,371.80 : 431,057.70 = 109,884.60 : x
  2. Step 2: Convert to fraction form
    287,371.80/431,057.70 = 109,884.60/x
  3. Step 3: Cross multiply
    287,371.80x = 431,057.70 × 109,884.60
  4. Step 4: Simplify right side
    287,371.80x = 47,366,602,941.42
  5. Step 5: Solve for x
    x = 47,366,602,941.42/287,371.80
  6. Step 6: Final answer
    x = 164,826.90

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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.