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Finding the Fourth Proportional to 201,521.61, 302,033.34 and 101,710.44

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Solution

The fourth proportional to 201,521.61, 302,033.34 and 101,710.44 is: 152,439.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,521.61 : 302,033.34 = 101,710.44 : x
  2. Step 2: Convert to fraction form
    201,521.61/302,033.34 = 101,710.44/x
  3. Step 3: Cross multiply
    201,521.61x = 302,033.34 × 101,710.44
  4. Step 4: Simplify right side
    201,521.61x = 30,719,943,906.07
  5. Step 5: Solve for x
    x = 30,719,943,906.07/201,521.61
  6. Step 6: Final answer
    x = 152,439.95

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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.