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Finding the Fourth Proportional to 114,154.50, 171,232.30 and 40,282.50

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Solution

The fourth proportional to 114,154.50, 171,232.30 and 40,282.50 is: 60,423.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,154.50 : 171,232.30 = 40,282.50 : x
  2. Step 2: Convert to fraction form
    114,154.50/171,232.30 = 40,282.50/x
  3. Step 3: Cross multiply
    114,154.50x = 171,232.30 × 40,282.50
  4. Step 4: Simplify right side
    114,154.50x = 6,897,665,124.75
  5. Step 5: Solve for x
    x = 6,897,665,124.75/114,154.50
  6. Step 6: Final answer
    x = 60,423.94

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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.