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Finding the Fourth Proportional to 122,498.50, 169,066.26 and 74,779.50

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Solution

The fourth proportional to 122,498.50, 169,066.26 and 74,779.50 is: 103,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,498.50 : 169,066.26 = 74,779.50 : x
  2. Step 2: Convert to fraction form
    122,498.50/169,066.26 = 74,779.50/x
  3. Step 3: Cross multiply
    122,498.50x = 169,066.26 × 74,779.50
  4. Step 4: Simplify right side
    122,498.50x = 12,642,690,389.67
  5. Step 5: Solve for x
    x = 12,642,690,389.67/122,498.50
  6. Step 6: Final answer
    x = 103,206.90

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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.