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Finding the Fourth Proportional to 142,647.16, 196,859.18 and 78,984.90

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Solution

The fourth proportional to 142,647.16, 196,859.18 and 78,984.90 is: 109,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,647.16 : 196,859.18 = 78,984.90 : x
  2. Step 2: Convert to fraction form
    142,647.16/196,859.18 = 78,984.90/x
  3. Step 3: Cross multiply
    142,647.16x = 196,859.18 × 78,984.90
  4. Step 4: Simplify right side
    142,647.16x = 15,548,902,646.38
  5. Step 5: Solve for x
    x = 15,548,902,646.38/142,647.16
  6. Step 6: Final answer
    x = 109,002.54

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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.