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Finding the Fourth Proportional to 173,798.60, 260,309.10 and 142,694.60

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Solution

The fourth proportional to 173,798.60, 260,309.10 and 142,694.60 is: 213,722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,798.60 : 260,309.10 = 142,694.60 : x
  2. Step 2: Convert to fraction form
    173,798.60/260,309.10 = 142,694.60/x
  3. Step 3: Cross multiply
    173,798.60x = 260,309.10 × 142,694.60
  4. Step 4: Simplify right side
    173,798.60x = 37,144,702,900.86
  5. Step 5: Solve for x
    x = 37,144,702,900.86/173,798.60
  6. Step 6: Final answer
    x = 213,722.68

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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.