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Finding the Fourth Proportional to 223,778, 335,393.40 and 105,291.92

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Solution

The fourth proportional to 223,778, 335,393.40 and 105,291.92 is: 157,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,778 : 335,393.40 = 105,291.92 : x
  2. Step 2: Convert to fraction form
    223,778/335,393.40 = 105,291.92/x
  3. Step 3: Cross multiply
    223,778x = 335,393.40 × 105,291.92
  4. Step 4: Simplify right side
    223,778x = 35,314,215,041.33
  5. Step 5: Solve for x
    x = 35,314,215,041.33/223,778
  6. Step 6: Final answer
    x = 157,809.15

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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.