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Finding the Fourth Proportional to 202,948.80, 304,442.40 and 55,204.80

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Solution

The fourth proportional to 202,948.80, 304,442.40 and 55,204.80 is: 82,812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,948.80 : 304,442.40 = 55,204.80 : x
  2. Step 2: Convert to fraction form
    202,948.80/304,442.40 = 55,204.80/x
  3. Step 3: Cross multiply
    202,948.80x = 304,442.40 × 55,204.80
  4. Step 4: Simplify right side
    202,948.80x = 16,806,681,803.52
  5. Step 5: Solve for x
    x = 16,806,681,803.52/202,948.80
  6. Step 6: Final answer
    x = 82,812.42

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1.5x scale

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.