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Finding the Fourth Proportional to 201,908.40, 302,498.10 and 117,599.55

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Solution

The fourth proportional to 201,908.40, 302,498.10 and 117,599.55 is: 176,187.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,908.40 : 302,498.10 = 117,599.55 : x
  2. Step 2: Convert to fraction form
    201,908.40/302,498.10 = 117,599.55/x
  3. Step 3: Cross multiply
    201,908.40x = 302,498.10 × 117,599.55
  4. Step 4: Simplify right side
    201,908.40x = 35,573,640,435.86
  5. Step 5: Solve for x
    x = 35,573,640,435.86/201,908.40
  6. Step 6: Final answer
    x = 176,187.03

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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.