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Finding the Fourth Proportional to 149,047.01, 205,624.17 and 84,502.65

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Solution

The fourth proportional to 149,047.01, 205,624.17 and 84,502.65 is: 116,579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,047.01 : 205,624.17 = 84,502.65 : x
  2. Step 2: Convert to fraction form
    149,047.01/205,624.17 = 84,502.65/x
  3. Step 3: Cross multiply
    149,047.01x = 205,624.17 × 84,502.65
  4. Step 4: Simplify right side
    149,047.01x = 17,375,787,269.05
  5. Step 5: Solve for x
    x = 17,375,787,269.05/149,047.01
  6. Step 6: Final answer
    x = 116,579.24

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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.