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Finding the Fourth Proportional to 201,157.70, 282,408.10 and 201,157.70

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Solution

The fourth proportional to 201,157.70, 282,408.10 and 201,157.70 is: 282,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,157.70 : 282,408.10 = 201,157.70 : x
  2. Step 2: Convert to fraction form
    201,157.70/282,408.10 = 201,157.70/x
  3. Step 3: Cross multiply
    201,157.70x = 282,408.10 × 201,157.70
  4. Step 4: Simplify right side
    201,157.70x = 56,808,563,857.37
  5. Step 5: Solve for x
    x = 56,808,563,857.37/201,157.70
  6. Step 6: Final answer
    x = 282,408.10

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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.