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Finding the Fourth Proportional to 171,514.60, 257,417.70 and 76,890.40

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Solution

The fourth proportional to 171,514.60, 257,417.70 and 76,890.40 is: 115,400.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,514.60 : 257,417.70 = 76,890.40 : x
  2. Step 2: Convert to fraction form
    171,514.60/257,417.70 = 76,890.40/x
  3. Step 3: Cross multiply
    171,514.60x = 257,417.70 × 76,890.40
  4. Step 4: Simplify right side
    171,514.60x = 19,792,949,920.08
  5. Step 5: Solve for x
    x = 19,792,949,920.08/171,514.60
  6. Step 6: Final answer
    x = 115,400.96

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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.