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Finding the Fourth Proportional to 201,938.80, 302,908.20 and 52,178.80

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Solution

The fourth proportional to 201,938.80, 302,908.20 and 52,178.80 is: 78,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,938.80 : 302,908.20 = 52,178.80 : x
  2. Step 2: Convert to fraction form
    201,938.80/302,908.20 = 52,178.80/x
  3. Step 3: Cross multiply
    201,938.80x = 302,908.20 × 52,178.80
  4. Step 4: Simplify right side
    201,938.80x = 15,805,386,386.16
  5. Step 5: Solve for x
    x = 15,805,386,386.16/201,938.80
  6. Step 6: Final answer
    x = 78,268.20

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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.