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Finding the Fourth Proportional to 98,117.10, 147,175.65 and 38,922.30

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Solution

The fourth proportional to 98,117.10, 147,175.65 and 38,922.30 is: 58,383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,117.10 : 147,175.65 = 38,922.30 : x
  2. Step 2: Convert to fraction form
    98,117.10/147,175.65 = 38,922.30/x
  3. Step 3: Cross multiply
    98,117.10x = 147,175.65 × 38,922.30
  4. Step 4: Simplify right side
    98,117.10x = 5,728,414,802.00
  5. Step 5: Solve for x
    x = 5,728,414,802.00/98,117.10
  6. Step 6: Final answer
    x = 58,383.45

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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.