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Finding the Fourth Proportional to 142,871.45, 197,151.84 and 78,330.38

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Solution

The fourth proportional to 142,871.45, 197,151.84 and 78,330.38 is: 108,090.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,871.45 : 197,151.84 = 78,330.38 : x
  2. Step 2: Convert to fraction form
    142,871.45/197,151.84 = 78,330.38/x
  3. Step 3: Cross multiply
    142,871.45x = 197,151.84 × 78,330.38
  4. Step 4: Simplify right side
    142,871.45x = 15,442,977,559.14
  5. Step 5: Solve for x
    x = 15,442,977,559.14/142,871.45
  6. Step 6: Final answer
    x = 108,090.02

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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.