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Finding the Fourth Proportional to 141,314.64, 194,866.28 and 105,447.76

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Solution

The fourth proportional to 141,314.64, 194,866.28 and 105,447.76 is: 145,407.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,314.64 : 194,866.28 = 105,447.76 : x
  2. Step 2: Convert to fraction form
    141,314.64/194,866.28 = 105,447.76/x
  3. Step 3: Cross multiply
    141,314.64x = 194,866.28 × 105,447.76
  4. Step 4: Simplify right side
    141,314.64x = 20,548,212,725.53
  5. Step 5: Solve for x
    x = 20,548,212,725.53/141,314.64
  6. Step 6: Final answer
    x = 145,407.53

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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.