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Finding the Fourth Proportional to 289,182.38, 399,080.13 and 161,854.70

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Solution

The fourth proportional to 289,182.38, 399,080.13 and 161,854.70 is: 223,364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,182.38 : 399,080.13 = 161,854.70 : x
  2. Step 2: Convert to fraction form
    289,182.38/399,080.13 = 161,854.70/x
  3. Step 3: Cross multiply
    289,182.38x = 399,080.13 × 161,854.70
  4. Step 4: Simplify right side
    289,182.38x = 64,592,994,717.11
  5. Step 5: Solve for x
    x = 64,592,994,717.11/289,182.38
  6. Step 6: Final answer
    x = 223,364.21

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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.