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Finding the Fourth Proportional to 159,434.16, 220,029.11 and 87,814.16

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Solution

The fourth proportional to 159,434.16, 220,029.11 and 87,814.16 is: 121,189.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,434.16 : 220,029.11 = 87,814.16 : x
  2. Step 2: Convert to fraction form
    159,434.16/220,029.11 = 87,814.16/x
  3. Step 3: Cross multiply
    159,434.16x = 220,029.11 × 87,814.16
  4. Step 4: Simplify right side
    159,434.16x = 19,321,671,470.20
  5. Step 5: Solve for x
    x = 19,321,671,470.20/159,434.16
  6. Step 6: Final answer
    x = 121,189.03

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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.