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Finding the Fourth Proportional to 261,347.96, 360,689.28 and 146,645.48

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Solution

The fourth proportional to 261,347.96, 360,689.28 and 146,645.48 is: 202,387.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,347.96 : 360,689.28 = 146,645.48 : x
  2. Step 2: Convert to fraction form
    261,347.96/360,689.28 = 146,645.48/x
  3. Step 3: Cross multiply
    261,347.96x = 360,689.28 × 146,645.48
  4. Step 4: Simplify right side
    261,347.96x = 52,893,452,596.45
  5. Step 5: Solve for x
    x = 52,893,452,596.45/261,347.96
  6. Step 6: Final answer
    x = 202,387.09

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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.