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Finding the Fourth Proportional to 149,864.04, 224,906.70 and 70,978.20

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Solution

The fourth proportional to 149,864.04, 224,906.70 and 70,978.20 is: 106,519.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,864.04 : 224,906.70 = 70,978.20 : x
  2. Step 2: Convert to fraction form
    149,864.04/224,906.70 = 70,978.20/x
  3. Step 3: Cross multiply
    149,864.04x = 224,906.70 × 70,978.20
  4. Step 4: Simplify right side
    149,864.04x = 15,963,472,733.94
  5. Step 5: Solve for x
    x = 15,963,472,733.94/149,864.04
  6. Step 6: Final answer
    x = 106,519.70

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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.