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Finding the Fourth Proportional to 201,681.84, 302,522.76 and 75,331.98

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Solution

The fourth proportional to 201,681.84, 302,522.76 and 75,331.98 is: 112,997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,681.84 : 302,522.76 = 75,331.98 : x
  2. Step 2: Convert to fraction form
    201,681.84/302,522.76 = 75,331.98/x
  3. Step 3: Cross multiply
    201,681.84x = 302,522.76 × 75,331.98
  4. Step 4: Simplify right side
    201,681.84x = 22,789,638,505.86
  5. Step 5: Solve for x
    x = 22,789,638,505.86/201,681.84
  6. Step 6: Final answer
    x = 112,997.97

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1.5x scale

Why These Related Problems?

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