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Finding the Fourth Proportional to 287,957.60, 431,806.80 and 130,104.80

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Solution

The fourth proportional to 287,957.60, 431,806.80 and 130,104.80 is: 195,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,957.60 : 431,806.80 = 130,104.80 : x
  2. Step 2: Convert to fraction form
    287,957.60/431,806.80 = 130,104.80/x
  3. Step 3: Cross multiply
    287,957.60x = 431,806.80 × 130,104.80
  4. Step 4: Simplify right side
    287,957.60x = 56,180,137,352.64
  5. Step 5: Solve for x
    x = 56,180,137,352.64/287,957.60
  6. Step 6: Final answer
    x = 195,098.64

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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.