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Finding the Fourth Proportional to 110,713.08, 165,914.10 and 83,030.52

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Solution

The fourth proportional to 110,713.08, 165,914.10 and 83,030.52 is: 124,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,713.08 : 165,914.10 = 83,030.52 : x
  2. Step 2: Convert to fraction form
    110,713.08/165,914.10 = 83,030.52/x
  3. Step 3: Cross multiply
    110,713.08x = 165,914.10 × 83,030.52
  4. Step 4: Simplify right side
    110,713.08x = 13,775,933,998.33
  5. Step 5: Solve for x
    x = 13,775,933,998.33/110,713.08
  6. Step 6: Final answer
    x = 124,429.15

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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.