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Finding the Fourth Proportional to 98,165.88, 147,170.82 and 42,723

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Solution

The fourth proportional to 98,165.88, 147,170.82 and 42,723 is: 64,050.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,165.88 : 147,170.82 = 42,723 : x
  2. Step 2: Convert to fraction form
    98,165.88/147,170.82 = 42,723/x
  3. Step 3: Cross multiply
    98,165.88x = 147,170.82 × 42,723
  4. Step 4: Simplify right side
    98,165.88x = 6,287,578,942.86
  5. Step 5: Solve for x
    x = 6,287,578,942.86/98,165.88
  6. Step 6: Final answer
    x = 64,050.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.