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Finding the Fourth Proportional to 189,513.38, 261,521.70 and 114,047.30

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Solution

The fourth proportional to 189,513.38, 261,521.70 and 114,047.30 is: 157,381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,513.38 : 261,521.70 = 114,047.30 : x
  2. Step 2: Convert to fraction form
    189,513.38/261,521.70 = 114,047.30/x
  3. Step 3: Cross multiply
    189,513.38x = 261,521.70 × 114,047.30
  4. Step 4: Simplify right side
    189,513.38x = 29,825,843,776.41
  5. Step 5: Solve for x
    x = 29,825,843,776.41/189,513.38
  6. Step 6: Final answer
    x = 157,381.20

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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.