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Finding the Fourth Proportional to 150,423.84, 225,634.14 and 61,657.56

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Solution

The fourth proportional to 150,423.84, 225,634.14 and 61,657.56 is: 92,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,423.84 : 225,634.14 = 61,657.56 : x
  2. Step 2: Convert to fraction form
    150,423.84/225,634.14 = 61,657.56/x
  3. Step 3: Cross multiply
    150,423.84x = 225,634.14 × 61,657.56
  4. Step 4: Simplify right side
    150,423.84x = 13,912,050,525.10
  5. Step 5: Solve for x
    x = 13,912,050,525.10/150,423.84
  6. Step 6: Final answer
    x = 92,485.68

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1.5x scale

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.