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Finding the Fourth Proportional to 150,074.84, 224,950.26 and 97,522.04

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Solution

The fourth proportional to 150,074.84, 224,950.26 and 97,522.04 is: 146,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,074.84 : 224,950.26 = 97,522.04 : x
  2. Step 2: Convert to fraction form
    150,074.84/224,950.26 = 97,522.04/x
  3. Step 3: Cross multiply
    150,074.84x = 224,950.26 × 97,522.04
  4. Step 4: Simplify right side
    150,074.84x = 21,937,608,253.73
  5. Step 5: Solve for x
    x = 21,937,608,253.73/150,074.84
  6. Step 6: Final answer
    x = 146,177.79

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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.