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Finding the Fourth Proportional to 456,033.85, 684,148.68 and 136,211.02

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Solution

The fourth proportional to 456,033.85, 684,148.68 and 136,211.02 is: 204,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,033.85 : 684,148.68 = 136,211.02 : x
  2. Step 2: Convert to fraction form
    456,033.85/684,148.68 = 136,211.02/x
  3. Step 3: Cross multiply
    456,033.85x = 684,148.68 × 136,211.02
  4. Step 4: Simplify right side
    456,033.85x = 93,188,587,824.08
  5. Step 5: Solve for x
    x = 93,188,587,824.08/456,033.85
  6. Step 6: Final answer
    x = 204,345.77

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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.