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Finding the Fourth Proportional to 186,471.80, 257,331.40 and 105,899.30

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Solution

The fourth proportional to 186,471.80, 257,331.40 and 105,899.30 is: 146,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,471.80 : 257,331.40 = 105,899.30 : x
  2. Step 2: Convert to fraction form
    186,471.80/257,331.40 = 105,899.30/x
  3. Step 3: Cross multiply
    186,471.80x = 257,331.40 × 105,899.30
  4. Step 4: Simplify right side
    186,471.80x = 27,251,215,128.02
  5. Step 5: Solve for x
    x = 27,251,215,128.02/186,471.80
  6. Step 6: Final answer
    x = 146,141.21

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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.