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Finding the Fourth Proportional to 98,448.30, 147,636 and 77,429.25

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Solution

The fourth proportional to 98,448.30, 147,636 and 77,429.25 is: 116,115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,448.30 : 147,636 = 77,429.25 : x
  2. Step 2: Convert to fraction form
    98,448.30/147,636 = 77,429.25/x
  3. Step 3: Cross multiply
    98,448.30x = 147,636 × 77,429.25
  4. Step 4: Simplify right side
    98,448.30x = 11,431,344,753
  5. Step 5: Solve for x
    x = 11,431,344,753/98,448.30
  6. Step 6: Final answer
    x = 116,115.21

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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.