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Finding the Fourth Proportional to 208,841.64, 288,201.72 and 113,348.32

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Solution

The fourth proportional to 208,841.64, 288,201.72 and 113,348.32 is: 156,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,841.64 : 288,201.72 = 113,348.32 : x
  2. Step 2: Convert to fraction form
    208,841.64/288,201.72 = 113,348.32/x
  3. Step 3: Cross multiply
    208,841.64x = 288,201.72 × 113,348.32
  4. Step 4: Simplify right side
    208,841.64x = 32,667,180,783.11
  5. Step 5: Solve for x
    x = 32,667,180,783.11/208,841.64
  6. Step 6: Final answer
    x = 156,420.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.