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Finding the Fourth Proportional to 182,748, 274,162.32 and 77,656.80

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Solution

The fourth proportional to 182,748, 274,162.32 and 77,656.80 is: 116,502.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,748 : 274,162.32 = 77,656.80 : x
  2. Step 2: Convert to fraction form
    182,748/274,162.32 = 77,656.80/x
  3. Step 3: Cross multiply
    182,748x = 274,162.32 × 77,656.80
  4. Step 4: Simplify right side
    182,748x = 21,290,568,451.78
  5. Step 5: Solve for x
    x = 21,290,568,451.78/182,748
  6. Step 6: Final answer
    x = 116,502.33

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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.