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Finding the Fourth Proportional to 208,847.53, 288,209.80 and 113,354.24

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Solution

The fourth proportional to 208,847.53, 288,209.80 and 113,354.24 is: 156,428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,847.53 : 288,209.80 = 113,354.24 : x
  2. Step 2: Convert to fraction form
    208,847.53/288,209.80 = 113,354.24/x
  3. Step 3: Cross multiply
    208,847.53x = 288,209.80 × 113,354.24
  4. Step 4: Simplify right side
    208,847.53x = 32,669,803,701.77
  5. Step 5: Solve for x
    x = 32,669,803,701.77/208,847.53
  6. Step 6: Final answer
    x = 156,428.97

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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.