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Finding the Fourth Proportional to 201,666.92, 302,687.41 and 101,897.18

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Solution

The fourth proportional to 201,666.92, 302,687.41 and 101,897.18 is: 152,940.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,666.92 : 302,687.41 = 101,897.18 : x
  2. Step 2: Convert to fraction form
    201,666.92/302,687.41 = 101,897.18/x
  3. Step 3: Cross multiply
    201,666.92x = 302,687.41 × 101,897.18
  4. Step 4: Simplify right side
    201,666.92x = 30,842,993,500.50
  5. Step 5: Solve for x
    x = 30,842,993,500.50/201,666.92
  6. Step 6: Final answer
    x = 152,940.27

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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.