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Finding the Fourth Proportional to 98,954.88, 148,465.14 and 65,805.42

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Solution

The fourth proportional to 98,954.88, 148,465.14 and 65,805.42 is: 98,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,954.88 : 148,465.14 = 65,805.42 : x
  2. Step 2: Convert to fraction form
    98,954.88/148,465.14 = 65,805.42/x
  3. Step 3: Cross multiply
    98,954.88x = 148,465.14 × 65,805.42
  4. Step 4: Simplify right side
    98,954.88x = 9,769,810,893.06
  5. Step 5: Solve for x
    x = 9,769,810,893.06/98,954.88
  6. Step 6: Final answer
    x = 98,729.96

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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.