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Finding the Fourth Proportional to 209,641.61, 289,306.11 and 114,148.88

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Solution

The fourth proportional to 209,641.61, 289,306.11 and 114,148.88 is: 157,525.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,641.61 : 289,306.11 = 114,148.88 : x
  2. Step 2: Convert to fraction form
    209,641.61/289,306.11 = 114,148.88/x
  3. Step 3: Cross multiply
    209,641.61x = 289,306.11 × 114,148.88
  4. Step 4: Simplify right side
    209,641.61x = 33,023,966,987.13
  5. Step 5: Solve for x
    x = 33,023,966,987.13/209,641.61
  6. Step 6: Final answer
    x = 157,525.83

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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.