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Finding the Fourth Proportional to 242,830.60, 364,148.70 and 84,977.80

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Solution

The fourth proportional to 242,830.60, 364,148.70 and 84,977.80 is: 127,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,830.60 : 364,148.70 = 84,977.80 : x
  2. Step 2: Convert to fraction form
    242,830.60/364,148.70 = 84,977.80/x
  3. Step 3: Cross multiply
    242,830.60x = 364,148.70 × 84,977.80
  4. Step 4: Simplify right side
    242,830.60x = 30,944,555,398.86
  5. Step 5: Solve for x
    x = 30,944,555,398.86/242,830.60
  6. Step 6: Final answer
    x = 127,432.69

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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.