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Finding the Fourth Proportional to 123,574.83, 170,673.30 and 83,218.38

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Solution

The fourth proportional to 123,574.83, 170,673.30 and 83,218.38 is: 114,935.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,574.83 : 170,673.30 = 83,218.38 : x
  2. Step 2: Convert to fraction form
    123,574.83/170,673.30 = 83,218.38/x
  3. Step 3: Cross multiply
    123,574.83x = 170,673.30 × 83,218.38
  4. Step 4: Simplify right side
    123,574.83x = 14,203,155,535.25
  5. Step 5: Solve for x
    x = 14,203,155,535.25/123,574.83
  6. Step 6: Final answer
    x = 114,935.67

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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.