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Finding the Fourth Proportional to 354,918.86, 532,454.84 and 102,197.65

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Solution

The fourth proportional to 354,918.86, 532,454.84 and 102,197.65 is: 153,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,918.86 : 532,454.84 = 102,197.65 : x
  2. Step 2: Convert to fraction form
    354,918.86/532,454.84 = 102,197.65/x
  3. Step 3: Cross multiply
    354,918.86x = 532,454.84 × 102,197.65
  4. Step 4: Simplify right side
    354,918.86x = 54,415,630,205.86
  5. Step 5: Solve for x
    x = 54,415,630,205.86/354,918.86
  6. Step 6: Final answer
    x = 153,318.51

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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.