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Finding the Fourth Proportional to 147,739, 221,732.48 and 76,705.24

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Solution

The fourth proportional to 147,739, 221,732.48 and 76,705.24 is: 115,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,739 : 221,732.48 = 76,705.24 : x
  2. Step 2: Convert to fraction form
    147,739/221,732.48 = 76,705.24/x
  3. Step 3: Cross multiply
    147,739x = 221,732.48 × 76,705.24
  4. Step 4: Simplify right side
    147,739x = 17,008,043,094.20
  5. Step 5: Solve for x
    x = 17,008,043,094.20/147,739
  6. Step 6: Final answer
    x = 115,122.23

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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.