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Finding the Fourth Proportional to 201,862.80, 302,794.20 and 148,718.70

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Solution

The fourth proportional to 201,862.80, 302,794.20 and 148,718.70 is: 223,078.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,862.80 : 302,794.20 = 148,718.70 : x
  2. Step 2: Convert to fraction form
    201,862.80/302,794.20 = 148,718.70/x
  3. Step 3: Cross multiply
    201,862.80x = 302,794.20 × 148,718.70
  4. Step 4: Simplify right side
    201,862.80x = 45,031,159,791.54
  5. Step 5: Solve for x
    x = 45,031,159,791.54/201,862.80
  6. Step 6: Final answer
    x = 223,078.05

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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.