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Finding the Fourth Proportional to 261,924.71, 361,486.08 and 145,649.80

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Solution

The fourth proportional to 261,924.71, 361,486.08 and 145,649.80 is: 201,013.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,924.71 : 361,486.08 = 145,649.80 : x
  2. Step 2: Convert to fraction form
    261,924.71/361,486.08 = 145,649.80/x
  3. Step 3: Cross multiply
    261,924.71x = 361,486.08 × 145,649.80
  4. Step 4: Simplify right side
    261,924.71x = 52,650,374,082.92
  5. Step 5: Solve for x
    x = 52,650,374,082.92/261,924.71
  6. Step 6: Final answer
    x = 201,013.39

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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.