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Finding the Fourth Proportional to 201,677.44, 278,303.04 and 116,788.48

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Solution

The fourth proportional to 201,677.44, 278,303.04 and 116,788.48 is: 161,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,677.44 : 278,303.04 = 116,788.48 : x
  2. Step 2: Convert to fraction form
    201,677.44/278,303.04 = 116,788.48/x
  3. Step 3: Cross multiply
    201,677.44x = 278,303.04 × 116,788.48
  4. Step 4: Simplify right side
    201,677.44x = 32,502,589,020.98
  5. Step 5: Solve for x
    x = 32,502,589,020.98/201,677.44
  6. Step 6: Final answer
    x = 161,161.25

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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.