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Finding the Fourth Proportional to 233,143.60, 349,715.94 and 99,937.48

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Solution

The fourth proportional to 233,143.60, 349,715.94 and 99,937.48 is: 149,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,143.60 : 349,715.94 = 99,937.48 : x
  2. Step 2: Convert to fraction form
    233,143.60/349,715.94 = 99,937.48/x
  3. Step 3: Cross multiply
    233,143.60x = 349,715.94 × 99,937.48
  4. Step 4: Simplify right side
    233,143.60x = 34,949,729,759.43
  5. Step 5: Solve for x
    x = 34,949,729,759.43/233,143.60
  6. Step 6: Final answer
    x = 149,906.45

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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.