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Finding the Fourth Proportional to 201,632.70, 302,319.45 and 83,351.10

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Solution

The fourth proportional to 201,632.70, 302,319.45 and 83,351.10 is: 124,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,632.70 : 302,319.45 = 83,351.10 : x
  2. Step 2: Convert to fraction form
    201,632.70/302,319.45 = 83,351.10/x
  3. Step 3: Cross multiply
    201,632.70x = 302,319.45 × 83,351.10
  4. Step 4: Simplify right side
    201,632.70x = 25,198,658,708.90
  5. Step 5: Solve for x
    x = 25,198,658,708.90/201,632.70
  6. Step 6: Final answer
    x = 124,973.08

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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.