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Finding the Fourth Proportional to 201,643.84, 302,652.57 and 101,874.34

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Solution

The fourth proportional to 201,643.84, 302,652.57 and 101,874.34 is: 152,905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,643.84 : 302,652.57 = 101,874.34 : x
  2. Step 2: Convert to fraction form
    201,643.84/302,652.57 = 101,874.34/x
  3. Step 3: Cross multiply
    201,643.84x = 302,652.57 × 101,874.34
  4. Step 4: Simplify right side
    201,643.84x = 30,832,529,304.79
  5. Step 5: Solve for x
    x = 30,832,529,304.79/201,643.84
  6. Step 6: Final answer
    x = 152,905.89

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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.