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Finding the Fourth Proportional to 270,209.52, 405,095.45 and 112,555.98

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Solution

The fourth proportional to 270,209.52, 405,095.45 and 112,555.98 is: 168,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,209.52 : 405,095.45 = 112,555.98 : x
  2. Step 2: Convert to fraction form
    270,209.52/405,095.45 = 112,555.98/x
  3. Step 3: Cross multiply
    270,209.52x = 405,095.45 × 112,555.98
  4. Step 4: Simplify right side
    270,209.52x = 45,595,914,805.51
  5. Step 5: Solve for x
    x = 45,595,914,805.51/270,209.52
  6. Step 6: Final answer
    x = 168,742.81

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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.