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Finding the Fourth Proportional to 174,005.70, 261,008.55 and 154,176.90

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Solution

The fourth proportional to 174,005.70, 261,008.55 and 154,176.90 is: 231,265.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,005.70 : 261,008.55 = 154,176.90 : x
  2. Step 2: Convert to fraction form
    174,005.70/261,008.55 = 154,176.90/x
  3. Step 3: Cross multiply
    174,005.70x = 261,008.55 × 154,176.90
  4. Step 4: Simplify right side
    174,005.70x = 40,241,489,112.50
  5. Step 5: Solve for x
    x = 40,241,489,112.50/174,005.70
  6. Step 6: Final answer
    x = 231,265.35

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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.