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Finding the Fourth Proportional to 201,666.21, 278,294.99 and 111,018.70

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Solution

The fourth proportional to 201,666.21, 278,294.99 and 111,018.70 is: 153,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,666.21 : 278,294.99 = 111,018.70 : x
  2. Step 2: Convert to fraction form
    201,666.21/278,294.99 = 111,018.70/x
  3. Step 3: Cross multiply
    201,666.21x = 278,294.99 × 111,018.70
  4. Step 4: Simplify right side
    201,666.21x = 30,895,948,423.57
  5. Step 5: Solve for x
    x = 30,895,948,423.57/201,666.21
  6. Step 6: Final answer
    x = 153,203.40

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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.