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Finding the Fourth Proportional to 270,392.74, 405,632.85 and 112,637.14

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Solution

The fourth proportional to 270,392.74, 405,632.85 and 112,637.14 is: 168,973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,392.74 : 405,632.85 = 112,637.14 : x
  2. Step 2: Convert to fraction form
    270,392.74/405,632.85 = 112,637.14/x
  3. Step 3: Cross multiply
    270,392.74x = 405,632.85 × 112,637.14
  4. Step 4: Simplify right side
    270,392.74x = 45,689,324,114.05
  5. Step 5: Solve for x
    x = 45,689,324,114.05/270,392.74
  6. Step 6: Final answer
    x = 168,973.93

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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.