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Finding the Fourth Proportional to 113,407.83, 169,890.21 and 83,366.82

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Solution

The fourth proportional to 113,407.83, 169,890.21 and 83,366.82 is: 124,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,407.83 : 169,890.21 = 83,366.82 : x
  2. Step 2: Convert to fraction form
    113,407.83/169,890.21 = 83,366.82/x
  3. Step 3: Cross multiply
    113,407.83x = 169,890.21 × 83,366.82
  4. Step 4: Simplify right side
    113,407.83x = 14,163,206,556.83
  5. Step 5: Solve for x
    x = 14,163,206,556.83/113,407.83
  6. Step 6: Final answer
    x = 124,887.38

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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.