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Finding the Fourth Proportional to 107,357.45, 161,070.19 and 83,745.95

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Solution

The fourth proportional to 107,357.45, 161,070.19 and 83,745.95 is: 125,645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,357.45 : 161,070.19 = 83,745.95 : x
  2. Step 2: Convert to fraction form
    107,357.45/161,070.19 = 83,745.95/x
  3. Step 3: Cross multiply
    107,357.45x = 161,070.19 × 83,745.95
  4. Step 4: Simplify right side
    107,357.45x = 13,488,975,063.51
  5. Step 5: Solve for x
    x = 13,488,975,063.51/107,357.45
  6. Step 6: Final answer
    x = 125,645.46

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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.