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Finding the Fourth Proportional to 141,303.85, 194,999.27 and 77,645.75

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Solution

The fourth proportional to 141,303.85, 194,999.27 and 77,645.75 is: 107,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,303.85 : 194,999.27 = 77,645.75 : x
  2. Step 2: Convert to fraction form
    141,303.85/194,999.27 = 77,645.75/x
  3. Step 3: Cross multiply
    141,303.85x = 194,999.27 × 77,645.75
  4. Step 4: Simplify right side
    141,303.85x = 15,140,863,205.38
  5. Step 5: Solve for x
    x = 15,140,863,205.38/141,303.85
  6. Step 6: Final answer
    x = 107,151.10

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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.