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Finding the Fourth Proportional to 174,505.28, 261,724.78 and 48,114.28

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Solution

The fourth proportional to 174,505.28, 261,724.78 and 48,114.28 is: 72,162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,505.28 : 261,724.78 = 48,114.28 : x
  2. Step 2: Convert to fraction form
    174,505.28/261,724.78 = 48,114.28/x
  3. Step 3: Cross multiply
    174,505.28x = 261,724.78 × 48,114.28
  4. Step 4: Simplify right side
    174,505.28x = 12,592,699,347.86
  5. Step 5: Solve for x
    x = 12,592,699,347.86/174,505.28
  6. Step 6: Final answer
    x = 72,162.28

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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.