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Finding the Fourth Proportional to 174,937.60, 262,406.40 and 165,721.60

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Solution

The fourth proportional to 174,937.60, 262,406.40 and 165,721.60 is: 248,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,937.60 : 262,406.40 = 165,721.60 : x
  2. Step 2: Convert to fraction form
    174,937.60/262,406.40 = 165,721.60/x
  3. Step 3: Cross multiply
    174,937.60x = 262,406.40 × 165,721.60
  4. Step 4: Simplify right side
    174,937.60x = 43,486,408,458.24
  5. Step 5: Solve for x
    x = 43,486,408,458.24/174,937.60
  6. Step 6: Final answer
    x = 248,582.40

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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.