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Finding the Fourth Proportional to 261,612.42, 392,459.75 and 111,853.50

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Solution

The fourth proportional to 261,612.42, 392,459.75 and 111,853.50 is: 167,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,612.42 : 392,459.75 = 111,853.50 : x
  2. Step 2: Convert to fraction form
    261,612.42/392,459.75 = 111,853.50/x
  3. Step 3: Cross multiply
    261,612.42x = 392,459.75 × 111,853.50
  4. Step 4: Simplify right side
    261,612.42x = 43,897,996,646.63
  5. Step 5: Solve for x
    x = 43,897,996,646.63/261,612.42
  6. Step 6: Final answer
    x = 167,797.83

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