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Finding the Fourth Proportional to 141,222.96, 194,888.16 and 77,559.12

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Solution

The fourth proportional to 141,222.96, 194,888.16 and 77,559.12 is: 107,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,222.96 : 194,888.16 = 77,559.12 : x
  2. Step 2: Convert to fraction form
    141,222.96/194,888.16 = 77,559.12/x
  3. Step 3: Cross multiply
    141,222.96x = 194,888.16 × 77,559.12
  4. Step 4: Simplify right side
    141,222.96x = 15,115,354,188.02
  5. Step 5: Solve for x
    x = 15,115,354,188.02/141,222.96
  6. Step 6: Final answer
    x = 107,031.85

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