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Finding the Fourth Proportional to 201,778.77, 302,685.58 and 52,017.80

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Solution

The fourth proportional to 201,778.77, 302,685.58 and 52,017.80 is: 78,031.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,778.77 : 302,685.58 = 52,017.80 : x
  2. Step 2: Convert to fraction form
    201,778.77/302,685.58 = 52,017.80/x
  3. Step 3: Cross multiply
    201,778.77x = 302,685.58 × 52,017.80
  4. Step 4: Simplify right side
    201,778.77x = 15,745,036,661.22
  5. Step 5: Solve for x
    x = 15,745,036,661.22/201,778.77
  6. Step 6: Final answer
    x = 78,031.19

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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.