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Finding the Fourth Proportional to 174,781.80, 262,178.50 and 48,423.30

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Solution

The fourth proportional to 174,781.80, 262,178.50 and 48,423.30 is: 72,636.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,781.80 : 262,178.50 = 48,423.30 : x
  2. Step 2: Convert to fraction form
    174,781.80/262,178.50 = 48,423.30/x
  3. Step 3: Cross multiply
    174,781.80x = 262,178.50 × 48,423.30
  4. Step 4: Simplify right side
    174,781.80x = 12,695,548,159.05
  5. Step 5: Solve for x
    x = 12,695,548,159.05/174,781.80
  6. Step 6: Final answer
    x = 72,636.56

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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.