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Finding the Fourth Proportional to 209,148.92, 288,624.14 and 113,655.61

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Solution

The fourth proportional to 209,148.92, 288,624.14 and 113,655.61 is: 156,844.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,148.92 : 288,624.14 = 113,655.61 : x
  2. Step 2: Convert to fraction form
    209,148.92/288,624.14 = 113,655.61/x
  3. Step 3: Cross multiply
    209,148.92x = 288,624.14 × 113,655.61
  4. Step 4: Simplify right side
    209,148.92x = 32,803,752,692.43
  5. Step 5: Solve for x
    x = 32,803,752,692.43/209,148.92
  6. Step 6: Final answer
    x = 156,844.00

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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.