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Finding the Fourth Proportional to 182,886.57, 274,242.38 and 77,648.13

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Solution

The fourth proportional to 182,886.57, 274,242.38 and 77,648.13 is: 116,435.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,886.57 : 274,242.38 = 77,648.13 : x
  2. Step 2: Convert to fraction form
    182,886.57/274,242.38 = 77,648.13/x
  3. Step 3: Cross multiply
    182,886.57x = 274,242.38 × 77,648.13
  4. Step 4: Simplify right side
    182,886.57x = 21,294,407,585.51
  5. Step 5: Solve for x
    x = 21,294,407,585.51/182,886.57
  6. Step 6: Final answer
    x = 116,435.05

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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.