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Finding the Fourth Proportional to 201,666.25, 278,294.52 and 111,021.49

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Solution

The fourth proportional to 201,666.25, 278,294.52 and 111,021.49 is: 153,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,666.25 : 278,294.52 = 111,021.49 : x
  2. Step 2: Convert to fraction form
    201,666.25/278,294.52 = 111,021.49/x
  3. Step 3: Cross multiply
    201,666.25x = 278,294.52 × 111,021.49
  4. Step 4: Simplify right side
    201,666.25x = 30,896,672,269.23
  5. Step 5: Solve for x
    x = 30,896,672,269.23/201,666.25
  6. Step 6: Final answer
    x = 153,206.96

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1.5x scale

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.