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Finding the Fourth Proportional to 202,882.47, 304,429.79 and 83,028.39

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Solution

The fourth proportional to 202,882.47, 304,429.79 and 83,028.39 is: 124,586.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,882.47 : 304,429.79 = 83,028.39 : x
  2. Step 2: Convert to fraction form
    202,882.47/304,429.79 = 83,028.39/x
  3. Step 3: Cross multiply
    202,882.47x = 304,429.79 × 83,028.39
  4. Step 4: Simplify right side
    202,882.47x = 25,276,316,110.11
  5. Step 5: Solve for x
    x = 25,276,316,110.11/202,882.47
  6. Step 6: Final answer
    x = 124,586.00

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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.