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Finding the Fourth Proportional to 202,101.90, 302,715.45 and 108,498.30

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Solution

The fourth proportional to 202,101.90, 302,715.45 and 108,498.30 is: 162,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,101.90 : 302,715.45 = 108,498.30 : x
  2. Step 2: Convert to fraction form
    202,101.90/302,715.45 = 108,498.30/x
  3. Step 3: Cross multiply
    202,101.90x = 302,715.45 × 108,498.30
  4. Step 4: Simplify right side
    202,101.90x = 32,844,111,708.74
  5. Step 5: Solve for x
    x = 32,844,111,708.74/202,101.90
  6. Step 6: Final answer
    x = 162,512.63

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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.