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Finding the Fourth Proportional to 177,722.12, 245,278.14 and 102,269

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Solution

The fourth proportional to 177,722.12, 245,278.14 and 102,269 is: 141,143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,722.12 : 245,278.14 = 102,269 : x
  2. Step 2: Convert to fraction form
    177,722.12/245,278.14 = 102,269/x
  3. Step 3: Cross multiply
    177,722.12x = 245,278.14 × 102,269
  4. Step 4: Simplify right side
    177,722.12x = 25,084,350,099.66
  5. Step 5: Solve for x
    x = 25,084,350,099.66/177,722.12
  6. Step 6: Final answer
    x = 141,143.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.