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Finding the Fourth Proportional to 113,884.92, 170,831.88 and 42,800.40

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Solution

The fourth proportional to 113,884.92, 170,831.88 and 42,800.40 is: 64,202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,884.92 : 170,831.88 = 42,800.40 : x
  2. Step 2: Convert to fraction form
    113,884.92/170,831.88 = 42,800.40/x
  3. Step 3: Cross multiply
    113,884.92x = 170,831.88 × 42,800.40
  4. Step 4: Simplify right side
    113,884.92x = 7,311,672,796.75
  5. Step 5: Solve for x
    x = 7,311,672,796.75/113,884.92
  6. Step 6: Final answer
    x = 64,202.29

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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.