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Finding the Fourth Proportional to 102,306.16, 153,449.52 and 35,734

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Solution

The fourth proportional to 102,306.16, 153,449.52 and 35,734 is: 53,597.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,306.16 : 153,449.52 = 35,734 : x
  2. Step 2: Convert to fraction form
    102,306.16/153,449.52 = 35,734/x
  3. Step 3: Cross multiply
    102,306.16x = 153,449.52 × 35,734
  4. Step 4: Simplify right side
    102,306.16x = 5,483,365,147.68
  5. Step 5: Solve for x
    x = 5,483,365,147.68/102,306.16
  6. Step 6: Final answer
    x = 53,597.60

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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.