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Finding the Fourth Proportional to 223,681.32, 335,418.30 and 83,402.28

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Solution

The fourth proportional to 223,681.32, 335,418.30 and 83,402.28 is: 125,064.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,681.32 : 335,418.30 = 83,402.28 : x
  2. Step 2: Convert to fraction form
    223,681.32/335,418.30 = 83,402.28/x
  3. Step 3: Cross multiply
    223,681.32x = 335,418.30 × 83,402.28
  4. Step 4: Simplify right side
    223,681.32x = 27,974,650,973.72
  5. Step 5: Solve for x
    x = 27,974,650,973.72/223,681.32
  6. Step 6: Final answer
    x = 125,064.76

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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.