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Finding the Fourth Proportional to 92,000.16, 137,704.77 and 61,959.06

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Solution

The fourth proportional to 92,000.16, 137,704.77 and 61,959.06 is: 92,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,000.16 : 137,704.77 = 61,959.06 : x
  2. Step 2: Convert to fraction form
    92,000.16/137,704.77 = 61,959.06/x
  3. Step 3: Cross multiply
    92,000.16x = 137,704.77 × 61,959.06
  4. Step 4: Simplify right side
    92,000.16x = 8,532,058,106.72
  5. Step 5: Solve for x
    x = 8,532,058,106.72/92,000.16
  6. Step 6: Final answer
    x = 92,739.60

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Why These Related Problems?

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