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Finding the Fourth Proportional to 270,184.86, 405,058.65 and 112,531.74

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Solution

The fourth proportional to 270,184.86, 405,058.65 and 112,531.74 is: 168,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,184.86 : 405,058.65 = 112,531.74 : x
  2. Step 2: Convert to fraction form
    270,184.86/405,058.65 = 112,531.74/x
  3. Step 3: Cross multiply
    270,184.86x = 405,058.65 × 112,531.74
  4. Step 4: Simplify right side
    270,184.86x = 45,581,954,686.55
  5. Step 5: Solve for x
    x = 45,581,954,686.55/270,184.86
  6. Step 6: Final answer
    x = 168,706.55

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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.