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Finding the Fourth Proportional to 209,882.91, 289,646.25 and 119,254.24

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Solution

The fourth proportional to 209,882.91, 289,646.25 and 119,254.24 is: 164,575.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,882.91 : 289,646.25 = 119,254.24 : x
  2. Step 2: Convert to fraction form
    209,882.91/289,646.25 = 119,254.24/x
  3. Step 3: Cross multiply
    209,882.91x = 289,646.25 × 119,254.24
  4. Step 4: Simplify right side
    209,882.91x = 34,541,543,327.45
  5. Step 5: Solve for x
    x = 34,541,543,327.45/209,882.91
  6. Step 6: Final answer
    x = 164,575.30

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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.