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Finding the Fourth Proportional to 102,064.56, 140,795.19 and 60,648.02

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Solution

The fourth proportional to 102,064.56, 140,795.19 and 60,648.02 is: 83,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,064.56 : 140,795.19 = 60,648.02 : x
  2. Step 2: Convert to fraction form
    102,064.56/140,795.19 = 60,648.02/x
  3. Step 3: Cross multiply
    102,064.56x = 140,795.19 × 60,648.02
  4. Step 4: Simplify right side
    102,064.56x = 8,538,948,756.47
  5. Step 5: Solve for x
    x = 8,538,948,756.47/102,064.56
  6. Step 6: Final answer
    x = 83,662.23

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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.