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Finding the Fourth Proportional to 202,953.30, 304,429.95 and 197,121.30

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Solution

The fourth proportional to 202,953.30, 304,429.95 and 197,121.30 is: 295,681.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,953.30 : 304,429.95 = 197,121.30 : x
  2. Step 2: Convert to fraction form
    202,953.30/304,429.95 = 197,121.30/x
  3. Step 3: Cross multiply
    202,953.30x = 304,429.95 × 197,121.30
  4. Step 4: Simplify right side
    202,953.30x = 60,009,627,502.94
  5. Step 5: Solve for x
    x = 60,009,627,502.94/202,953.30
  6. Step 6: Final answer
    x = 295,681.95

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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.