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Finding the Fourth Proportional to 285,193.04, 428,210.09 and 159,079.68

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Solution

The fourth proportional to 285,193.04, 428,210.09 and 159,079.68 is: 238,854.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,193.04 : 428,210.09 = 159,079.68 : x
  2. Step 2: Convert to fraction form
    285,193.04/428,210.09 = 159,079.68/x
  3. Step 3: Cross multiply
    285,193.04x = 428,210.09 × 159,079.68
  4. Step 4: Simplify right side
    285,193.04x = 68,119,524,487.67
  5. Step 5: Solve for x
    x = 68,119,524,487.67/285,193.04
  6. Step 6: Final answer
    x = 238,854.10

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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.