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Finding the Fourth Proportional to 201,947.90, 282,174.10 and 201,947.90

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Solution

The fourth proportional to 201,947.90, 282,174.10 and 201,947.90 is: 282,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,947.90 : 282,174.10 = 201,947.90 : x
  2. Step 2: Convert to fraction form
    201,947.90/282,174.10 = 201,947.90/x
  3. Step 3: Cross multiply
    201,947.90x = 282,174.10 × 201,947.90
  4. Step 4: Simplify right side
    201,947.90x = 56,984,466,929.39
  5. Step 5: Solve for x
    x = 56,984,466,929.39/201,947.90
  6. Step 6: Final answer
    x = 282,174.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.