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Finding the Fourth Proportional to 261,486.96, 392,230.44 and 74,499

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Solution

The fourth proportional to 261,486.96, 392,230.44 and 74,499 is: 111,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,486.96 : 392,230.44 = 74,499 : x
  2. Step 2: Convert to fraction form
    261,486.96/392,230.44 = 74,499/x
  3. Step 3: Cross multiply
    261,486.96x = 392,230.44 × 74,499
  4. Step 4: Simplify right side
    261,486.96x = 29,220,775,549.56
  5. Step 5: Solve for x
    x = 29,220,775,549.56/261,486.96
  6. Step 6: Final answer
    x = 111,748.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.