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Finding the Fourth Proportional to 147,096.60, 220,783.14 and 77,026.20

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Solution

The fourth proportional to 147,096.60, 220,783.14 and 77,026.20 is: 115,611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,096.60 : 220,783.14 = 77,026.20 : x
  2. Step 2: Convert to fraction form
    147,096.60/220,783.14 = 77,026.20/x
  3. Step 3: Cross multiply
    147,096.60x = 220,783.14 × 77,026.20
  4. Step 4: Simplify right side
    147,096.60x = 17,006,086,298.27
  5. Step 5: Solve for x
    x = 17,006,086,298.27/147,096.60
  6. Step 6: Final answer
    x = 115,611.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.