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Finding the Fourth Proportional to 226,315.38, 312,058.98 and 144,536.16

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Solution

The fourth proportional to 226,315.38, 312,058.98 and 144,536.16 is: 199,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,315.38 : 312,058.98 = 144,536.16 : x
  2. Step 2: Convert to fraction form
    226,315.38/312,058.98 = 144,536.16/x
  3. Step 3: Cross multiply
    226,315.38x = 312,058.98 × 144,536.16
  4. Step 4: Simplify right side
    226,315.38x = 45,103,806,662.72
  5. Step 5: Solve for x
    x = 45,103,806,662.72/226,315.38
  6. Step 6: Final answer
    x = 199,296.25

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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.