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Finding the Fourth Proportional to 202,952.80, 304,429.20 and 197,120.80

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Solution

The fourth proportional to 202,952.80, 304,429.20 and 197,120.80 is: 295,681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,952.80 : 304,429.20 = 197,120.80 : x
  2. Step 2: Convert to fraction form
    202,952.80/304,429.20 = 197,120.80/x
  3. Step 3: Cross multiply
    202,952.80x = 304,429.20 × 197,120.80
  4. Step 4: Simplify right side
    202,952.80x = 60,009,327,447.36
  5. Step 5: Solve for x
    x = 60,009,327,447.36/202,952.80
  6. Step 6: Final answer
    x = 295,681.20

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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.