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Finding the Fourth Proportional to 242,463.74, 334,610.33 and 135,033.77

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Solution

The fourth proportional to 242,463.74, 334,610.33 and 135,033.77 is: 186,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,463.74 : 334,610.33 = 135,033.77 : x
  2. Step 2: Convert to fraction form
    242,463.74/334,610.33 = 135,033.77/x
  3. Step 3: Cross multiply
    242,463.74x = 334,610.33 × 135,033.77
  4. Step 4: Simplify right side
    242,463.74x = 45,183,695,514.95
  5. Step 5: Solve for x
    x = 45,183,695,514.95/242,463.74
  6. Step 6: Final answer
    x = 186,352.39

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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.