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Finding the Fourth Proportional to 201,757.54, 302,460.99 and 101,834.50

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Solution

The fourth proportional to 201,757.54, 302,460.99 and 101,834.50 is: 152,663.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,757.54 : 302,460.99 = 101,834.50 : x
  2. Step 2: Convert to fraction form
    201,757.54/302,460.99 = 101,834.50/x
  3. Step 3: Cross multiply
    201,757.54x = 302,460.99 × 101,834.50
  4. Step 4: Simplify right side
    201,757.54x = 30,800,963,686.16
  5. Step 5: Solve for x
    x = 30,800,963,686.16/201,757.54
  6. Step 6: Final answer
    x = 152,663.26

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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.