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Finding the Fourth Proportional to 202,814.80, 304,222.20 and 128,019.40

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Solution

The fourth proportional to 202,814.80, 304,222.20 and 128,019.40 is: 192,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,814.80 : 304,222.20 = 128,019.40 : x
  2. Step 2: Convert to fraction form
    202,814.80/304,222.20 = 128,019.40/x
  3. Step 3: Cross multiply
    202,814.80x = 304,222.20 × 128,019.40
  4. Step 4: Simplify right side
    202,814.80x = 38,946,343,510.68
  5. Step 5: Solve for x
    x = 38,946,343,510.68/202,814.80
  6. Step 6: Final answer
    x = 192,029.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.