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Finding the Fourth Proportional to 235,697.76, 353,612.64 and 78,037.20

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Solution

The fourth proportional to 235,697.76, 353,612.64 and 78,037.20 is: 117,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,697.76 : 353,612.64 = 78,037.20 : x
  2. Step 2: Convert to fraction form
    235,697.76/353,612.64 = 78,037.20/x
  3. Step 3: Cross multiply
    235,697.76x = 353,612.64 × 78,037.20
  4. Step 4: Simplify right side
    235,697.76x = 27,594,940,310.21
  5. Step 5: Solve for x
    x = 27,594,940,310.21/235,697.76
  6. Step 6: Final answer
    x = 117,077.65

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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.