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Finding the Fourth Proportional to 201,954.51, 302,344.92 and 117,456.93

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Solution

The fourth proportional to 201,954.51, 302,344.92 and 117,456.93 is: 175,844.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,954.51 : 302,344.92 = 117,456.93 : x
  2. Step 2: Convert to fraction form
    201,954.51/302,344.92 = 117,456.93/x
  3. Step 3: Cross multiply
    201,954.51x = 302,344.92 × 117,456.93
  4. Step 4: Simplify right side
    201,954.51x = 35,512,506,104.30
  5. Step 5: Solve for x
    x = 35,512,506,104.30/201,954.51
  6. Step 6: Final answer
    x = 175,844.09

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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.