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Finding the Fourth Proportional to 186,064.33, 256,761.01 and 105,497.30

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Solution

The fourth proportional to 186,064.33, 256,761.01 and 105,497.30 is: 145,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,064.33 : 256,761.01 = 105,497.30 : x
  2. Step 2: Convert to fraction form
    186,064.33/256,761.01 = 105,497.30/x
  3. Step 3: Cross multiply
    186,064.33x = 256,761.01 × 105,497.30
  4. Step 4: Simplify right side
    186,064.33x = 27,087,593,300.27
  5. Step 5: Solve for x
    x = 27,087,593,300.27/186,064.33
  6. Step 6: Final answer
    x = 145,581.87

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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.