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Finding the Fourth Proportional to 201,496, 302,242.20 and 75,131.96

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Solution

The fourth proportional to 201,496, 302,242.20 and 75,131.96 is: 112,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,496 : 302,242.20 = 75,131.96 : x
  2. Step 2: Convert to fraction form
    201,496/302,242.20 = 75,131.96/x
  3. Step 3: Cross multiply
    201,496x = 302,242.20 × 75,131.96
  4. Step 4: Simplify right side
    201,496x = 22,708,048,880.71
  5. Step 5: Solve for x
    x = 22,708,048,880.71/201,496
  6. Step 6: Final answer
    x = 112,697.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.