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Finding the Fourth Proportional to 201,918.70, 278,646.51 and 111,275.38

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Solution

The fourth proportional to 201,918.70, 278,646.51 and 111,275.38 is: 153,559.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,918.70 : 278,646.51 = 111,275.38 : x
  2. Step 2: Convert to fraction form
    201,918.70/278,646.51 = 111,275.38/x
  3. Step 3: Cross multiply
    201,918.70x = 278,646.51 × 111,275.38
  4. Step 4: Simplify right side
    201,918.70x = 31,006,496,285.92
  5. Step 5: Solve for x
    x = 31,006,496,285.92/201,918.70
  6. Step 6: Final answer
    x = 153,559.31

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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.