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Finding the Fourth Proportional to 141,524.71, 212,224.74 and 74,949.28

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Solution

The fourth proportional to 141,524.71, 212,224.74 and 74,949.28 is: 112,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,524.71 : 212,224.74 = 74,949.28 : x
  2. Step 2: Convert to fraction form
    141,524.71/212,224.74 = 74,949.28/x
  3. Step 3: Cross multiply
    141,524.71x = 212,224.74 × 74,949.28
  4. Step 4: Simplify right side
    141,524.71x = 15,906,091,461.19
  5. Step 5: Solve for x
    x = 15,906,091,461.19/141,524.71
  6. Step 6: Final answer
    x = 112,390.91

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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.