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Finding the Fourth Proportional to 209,157.01, 288,638.51 and 113,663.70

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Solution

The fourth proportional to 209,157.01, 288,638.51 and 113,663.70 is: 156,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,157.01 : 288,638.51 = 113,663.70 : x
  2. Step 2: Convert to fraction form
    209,157.01/288,638.51 = 113,663.70/x
  3. Step 3: Cross multiply
    209,157.01x = 288,638.51 × 113,663.70
  4. Step 4: Simplify right side
    209,157.01x = 32,807,720,440.77
  5. Step 5: Solve for x
    x = 32,807,720,440.77/209,157.01
  6. Step 6: Final answer
    x = 156,856.90

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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.