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Finding the Fourth Proportional to 121,101.84, 181,691.16 and 65,667.60

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Solution

The fourth proportional to 121,101.84, 181,691.16 and 65,667.60 is: 98,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,101.84 : 181,691.16 = 65,667.60 : x
  2. Step 2: Convert to fraction form
    121,101.84/181,691.16 = 65,667.60/x
  3. Step 3: Cross multiply
    121,101.84x = 181,691.16 × 65,667.60
  4. Step 4: Simplify right side
    121,101.84x = 11,931,222,418.42
  5. Step 5: Solve for x
    x = 11,931,222,418.42/121,101.84
  6. Step 6: Final answer
    x = 98,522.22

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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.