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Finding the Fourth Proportional to 201,357.63, 302,029.47 and 51,599.16

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Solution

The fourth proportional to 201,357.63, 302,029.47 and 51,599.16 is: 77,396.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,357.63 : 302,029.47 = 51,599.16 : x
  2. Step 2: Convert to fraction form
    201,357.63/302,029.47 = 51,599.16/x
  3. Step 3: Cross multiply
    201,357.63x = 302,029.47 × 51,599.16
  4. Step 4: Simplify right side
    201,357.63x = 15,584,466,947.25
  5. Step 5: Solve for x
    x = 15,584,466,947.25/201,357.63
  6. Step 6: Final answer
    x = 77,396.95

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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.