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Finding the Fourth Proportional to 146,050.76, 201,549.92 and 78,982.76

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Solution

The fourth proportional to 146,050.76, 201,549.92 and 78,982.76 is: 108,996.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,050.76 : 201,549.92 = 78,982.76 : x
  2. Step 2: Convert to fraction form
    146,050.76/201,549.92 = 78,982.76/x
  3. Step 3: Cross multiply
    146,050.76x = 201,549.92 × 78,982.76
  4. Step 4: Simplify right side
    146,050.76x = 15,918,968,959.38
  5. Step 5: Solve for x
    x = 15,918,968,959.38/146,050.76
  6. Step 6: Final answer
    x = 108,996.14

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Why These Related Problems?

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