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Finding the Fourth Proportional to 287,641.20, 431,461.80 and 130,177.20

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Solution

The fourth proportional to 287,641.20, 431,461.80 and 130,177.20 is: 195,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,641.20 : 431,461.80 = 130,177.20 : x
  2. Step 2: Convert to fraction form
    287,641.20/431,461.80 = 130,177.20/x
  3. Step 3: Cross multiply
    287,641.20x = 431,461.80 × 130,177.20
  4. Step 4: Simplify right side
    287,641.20x = 56,166,489,030.96
  5. Step 5: Solve for x
    x = 56,166,489,030.96/287,641.20
  6. Step 6: Final answer
    x = 195,265.80

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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.