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Finding the Fourth Proportional to 189,471.56, 261,434.40 and 114,024.92

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Solution

The fourth proportional to 189,471.56, 261,434.40 and 114,024.92 is: 157,332.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,471.56 : 261,434.40 = 114,024.92 : x
  2. Step 2: Convert to fraction form
    189,471.56/261,434.40 = 114,024.92/x
  3. Step 3: Cross multiply
    189,471.56x = 261,434.40 × 114,024.92
  4. Step 4: Simplify right side
    189,471.56x = 29,810,036,545.25
  5. Step 5: Solve for x
    x = 29,810,036,545.25/189,471.56
  6. Step 6: Final answer
    x = 157,332.51

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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.