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Finding the Fourth Proportional to 201,152.70, 282,401.10 and 201,152.70

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Solution

The fourth proportional to 201,152.70, 282,401.10 and 201,152.70 is: 282,401.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,152.70 : 282,401.10 = 201,152.70 : x
  2. Step 2: Convert to fraction form
    201,152.70/282,401.10 = 201,152.70/x
  3. Step 3: Cross multiply
    201,152.70x = 282,401.10 × 201,152.70
  4. Step 4: Simplify right side
    201,152.70x = 56,805,743,747.97
  5. Step 5: Solve for x
    x = 56,805,743,747.97/201,152.70
  6. Step 6: Final answer
    x = 282,401.10

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1.5x scale

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.