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Finding the Fourth Proportional to 201,857.40, 302,713.20 and 101,984.40

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Solution

The fourth proportional to 201,857.40, 302,713.20 and 101,984.40 is: 152,939.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,857.40 : 302,713.20 = 101,984.40 : x
  2. Step 2: Convert to fraction form
    201,857.40/302,713.20 = 101,984.40/x
  3. Step 3: Cross multiply
    201,857.40x = 302,713.20 × 101,984.40
  4. Step 4: Simplify right side
    201,857.40x = 30,872,024,074.08
  5. Step 5: Solve for x
    x = 30,872,024,074.08/201,857.40
  6. Step 6: Final answer
    x = 152,939.77

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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.