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Finding the Fourth Proportional to 141,151.64, 194,788.42 and 76,622.17

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Solution

The fourth proportional to 141,151.64, 194,788.42 and 76,622.17 is: 105,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,151.64 : 194,788.42 = 76,622.17 : x
  2. Step 2: Convert to fraction form
    141,151.64/194,788.42 = 76,622.17/x
  3. Step 3: Cross multiply
    141,151.64x = 194,788.42 × 76,622.17
  4. Step 4: Simplify right side
    141,151.64x = 14,925,111,431.27
  5. Step 5: Solve for x
    x = 14,925,111,431.27/141,151.64
  6. Step 6: Final answer
    x = 105,738.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.