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Finding the Fourth Proportional to 202,603.40, 279,609.53 and 111,977.06

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Solution

The fourth proportional to 202,603.40, 279,609.53 and 111,977.06 is: 154,537.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,603.40 : 279,609.53 = 111,977.06 : x
  2. Step 2: Convert to fraction form
    202,603.40/279,609.53 = 111,977.06/x
  3. Step 3: Cross multiply
    202,603.40x = 279,609.53 × 111,977.06
  4. Step 4: Simplify right side
    202,603.40x = 31,309,853,117.38
  5. Step 5: Solve for x
    x = 31,309,853,117.38/202,603.40
  6. Step 6: Final answer
    x = 154,537.65

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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.