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Finding the Fourth Proportional to 131,678.80, 197,345.40 and 52,728.40

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Solution

The fourth proportional to 131,678.80, 197,345.40 and 52,728.40 is: 79,023.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,678.80 : 197,345.40 = 52,728.40 : x
  2. Step 2: Convert to fraction form
    131,678.80/197,345.40 = 52,728.40/x
  3. Step 3: Cross multiply
    131,678.80x = 197,345.40 × 52,728.40
  4. Step 4: Simplify right side
    131,678.80x = 10,405,707,189.36
  5. Step 5: Solve for x
    x = 10,405,707,189.36/131,678.80
  6. Step 6: Final answer
    x = 79,023.41

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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.