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Finding the Fourth Proportional to 223,689.84, 335,291.44 and 111,453

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Solution

The fourth proportional to 223,689.84, 335,291.44 and 111,453 is: 167,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,689.84 : 335,291.44 = 111,453 : x
  2. Step 2: Convert to fraction form
    223,689.84/335,291.44 = 111,453/x
  3. Step 3: Cross multiply
    223,689.84x = 335,291.44 × 111,453
  4. Step 4: Simplify right side
    223,689.84x = 37,369,236,862.32
  5. Step 5: Solve for x
    x = 37,369,236,862.32/223,689.84
  6. Step 6: Final answer
    x = 167,058.27

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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.