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Finding the Fourth Proportional to 201,894.02, 302,842.09 and 52,124.11

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Solution

The fourth proportional to 201,894.02, 302,842.09 and 52,124.11 is: 78,186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,894.02 : 302,842.09 = 52,124.11 : x
  2. Step 2: Convert to fraction form
    201,894.02/302,842.09 = 52,124.11/x
  3. Step 3: Cross multiply
    201,894.02x = 302,842.09 × 52,124.11
  4. Step 4: Simplify right side
    201,894.02x = 15,785,373,719.84
  5. Step 5: Solve for x
    x = 15,785,373,719.84/201,894.02
  6. Step 6: Final answer
    x = 78,186.44

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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.