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Finding the Fourth Proportional to 171,041.10, 256,707.45 and 76,416.90

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Solution

The fourth proportional to 171,041.10, 256,707.45 and 76,416.90 is: 114,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,041.10 : 256,707.45 = 76,416.90 : x
  2. Step 2: Convert to fraction form
    171,041.10/256,707.45 = 76,416.90/x
  3. Step 3: Cross multiply
    171,041.10x = 256,707.45 × 76,416.90
  4. Step 4: Simplify right side
    171,041.10x = 19,616,787,535.91
  5. Step 5: Solve for x
    x = 19,616,787,535.91/171,041.10
  6. Step 6: Final answer
    x = 114,690.49

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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.