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Finding the Fourth Proportional to 456,098.80, 684,148.20 and 119,138.80

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Solution

The fourth proportional to 456,098.80, 684,148.20 and 119,138.80 is: 178,708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,098.80 : 684,148.20 = 119,138.80 : x
  2. Step 2: Convert to fraction form
    456,098.80/684,148.20 = 119,138.80/x
  3. Step 3: Cross multiply
    456,098.80x = 684,148.20 × 119,138.80
  4. Step 4: Simplify right side
    456,098.80x = 81,508,595,570.16
  5. Step 5: Solve for x
    x = 81,508,595,570.16/456,098.80
  6. Step 6: Final answer
    x = 178,708.20

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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.