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Finding the Fourth Proportional to 102,942.80, 153,729.14 and 101,829.48

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Solution

The fourth proportional to 102,942.80, 153,729.14 and 101,829.48 is: 152,066.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,942.80 : 153,729.14 = 101,829.48 : x
  2. Step 2: Convert to fraction form
    102,942.80/153,729.14 = 101,829.48/x
  3. Step 3: Cross multiply
    102,942.80x = 153,729.14 × 101,829.48
  4. Step 4: Simplify right side
    102,942.80x = 15,654,158,306.57
  5. Step 5: Solve for x
    x = 15,654,158,306.57/102,942.80
  6. Step 6: Final answer
    x = 152,066.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.