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Finding the Fourth Proportional to 261,548.71, 360,917.30 and 146,805.19

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Solution

The fourth proportional to 261,548.71, 360,917.30 and 146,805.19 is: 202,579.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,548.71 : 360,917.30 = 146,805.19 : x
  2. Step 2: Convert to fraction form
    261,548.71/360,917.30 = 146,805.19/x
  3. Step 3: Cross multiply
    261,548.71x = 360,917.30 × 146,805.19
  4. Step 4: Simplify right side
    261,548.71x = 52,984,530,487.75
  5. Step 5: Solve for x
    x = 52,984,530,487.75/261,548.71
  6. Step 6: Final answer
    x = 202,579.97

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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.