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Finding the Fourth Proportional to 185,689.40, 278,534.10 and 173,879.60

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Solution

The fourth proportional to 185,689.40, 278,534.10 and 173,879.60 is: 260,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,689.40 : 278,534.10 = 173,879.60 : x
  2. Step 2: Convert to fraction form
    185,689.40/278,534.10 = 173,879.60/x
  3. Step 3: Cross multiply
    185,689.40x = 278,534.10 × 173,879.60
  4. Step 4: Simplify right side
    185,689.40x = 48,431,397,894.36
  5. Step 5: Solve for x
    x = 48,431,397,894.36/185,689.40
  6. Step 6: Final answer
    x = 260,819.40

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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.