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Finding the Fourth Proportional to 149,825.57, 224,754.14 and 49,950.95

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Solution

The fourth proportional to 149,825.57, 224,754.14 and 49,950.95 is: 74,931.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,825.57 : 224,754.14 = 49,950.95 : x
  2. Step 2: Convert to fraction form
    149,825.57/224,754.14 = 49,950.95/x
  3. Step 3: Cross multiply
    149,825.57x = 224,754.14 × 49,950.95
  4. Step 4: Simplify right side
    149,825.57x = 11,226,681,810.54
  5. Step 5: Solve for x
    x = 11,226,681,810.54/149,825.57
  6. Step 6: Final answer
    x = 74,931.68

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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.