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Finding the Fourth Proportional to 142,325.64, 196,402.32 and 78,661.80

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Solution

The fourth proportional to 142,325.64, 196,402.32 and 78,661.80 is: 108,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,325.64 : 196,402.32 = 78,661.80 : x
  2. Step 2: Convert to fraction form
    142,325.64/196,402.32 = 78,661.80/x
  3. Step 3: Cross multiply
    142,325.64x = 196,402.32 × 78,661.80
  4. Step 4: Simplify right side
    142,325.64x = 15,449,360,015.38
  5. Step 5: Solve for x
    x = 15,449,360,015.38/142,325.64
  6. Step 6: Final answer
    x = 108,549.38

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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.