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Finding the Fourth Proportional to 202,838.42, 304,407.11 and 96,222.71

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Solution

The fourth proportional to 202,838.42, 304,407.11 and 96,222.71 is: 144,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,838.42 : 304,407.11 = 96,222.71 : x
  2. Step 2: Convert to fraction form
    202,838.42/304,407.11 = 96,222.71/x
  3. Step 3: Cross multiply
    202,838.42x = 304,407.11 × 96,222.71
  4. Step 4: Simplify right side
    202,838.42x = 29,290,877,067.47
  5. Step 5: Solve for x
    x = 29,290,877,067.47/202,838.42
  6. Step 6: Final answer
    x = 144,404.98

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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.