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Finding the Fourth Proportional to 171,141.60, 256,707.60 and 77,647.20

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Solution

The fourth proportional to 171,141.60, 256,707.60 and 77,647.20 is: 116,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,141.60 : 256,707.60 = 77,647.20 : x
  2. Step 2: Convert to fraction form
    171,141.60/256,707.60 = 77,647.20/x
  3. Step 3: Cross multiply
    171,141.60x = 256,707.60 × 77,647.20
  4. Step 4: Simplify right side
    171,141.60x = 19,932,626,358.72
  5. Step 5: Solve for x
    x = 19,932,626,358.72/171,141.60
  6. Step 6: Final answer
    x = 116,468.62

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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.