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Finding the Fourth Proportional to 202,017.12, 302,996.50 and 61,738.08

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Solution

The fourth proportional to 202,017.12, 302,996.50 and 61,738.08 is: 92,598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,017.12 : 302,996.50 = 61,738.08 : x
  2. Step 2: Convert to fraction form
    202,017.12/302,996.50 = 61,738.08/x
  3. Step 3: Cross multiply
    202,017.12x = 302,996.50 × 61,738.08
  4. Step 4: Simplify right side
    202,017.12x = 18,706,422,156.72
  5. Step 5: Solve for x
    x = 18,706,422,156.72/202,017.12
  6. Step 6: Final answer
    x = 92,598.20

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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.