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Finding the Fourth Proportional to 201,907.52, 302,862.40 and 83,514.72

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Solution

The fourth proportional to 201,907.52, 302,862.40 and 83,514.72 is: 125,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,907.52 : 302,862.40 = 83,514.72 : x
  2. Step 2: Convert to fraction form
    201,907.52/302,862.40 = 83,514.72/x
  3. Step 3: Cross multiply
    201,907.52x = 302,862.40 × 83,514.72
  4. Step 4: Simplify right side
    201,907.52x = 25,293,468,534.53
  5. Step 5: Solve for x
    x = 25,293,468,534.53/201,907.52
  6. Step 6: Final answer
    x = 125,272.54

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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.