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Finding the Fourth Proportional to 141,014.88, 194,572.74 and 83,643.39

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Solution

The fourth proportional to 141,014.88, 194,572.74 and 83,643.39 is: 115,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,014.88 : 194,572.74 = 83,643.39 : x
  2. Step 2: Convert to fraction form
    141,014.88/194,572.74 = 83,643.39/x
  3. Step 3: Cross multiply
    141,014.88x = 194,572.74 × 83,643.39
  4. Step 4: Simplify right side
    141,014.88x = 16,274,723,575.19
  5. Step 5: Solve for x
    x = 16,274,723,575.19/141,014.88
  6. Step 6: Final answer
    x = 115,411.39

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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.