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Finding the Fourth Proportional to 102,538.34, 153,799.14 and 45,629.90

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Solution

The fourth proportional to 102,538.34, 153,799.14 and 45,629.90 is: 68,441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,538.34 : 153,799.14 = 45,629.90 : x
  2. Step 2: Convert to fraction form
    102,538.34/153,799.14 = 45,629.90/x
  3. Step 3: Cross multiply
    102,538.34x = 153,799.14 × 45,629.90
  4. Step 4: Simplify right side
    102,538.34x = 7,017,839,378.29
  5. Step 5: Solve for x
    x = 7,017,839,378.29/102,538.34
  6. Step 6: Final answer
    x = 68,441.13

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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.