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Finding the Fourth Proportional to 202,882.60, 304,323.90 and 189,663.40

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Solution

The fourth proportional to 202,882.60, 304,323.90 and 189,663.40 is: 284,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,882.60 : 304,323.90 = 189,663.40 : x
  2. Step 2: Convert to fraction form
    202,882.60/304,323.90 = 189,663.40/x
  3. Step 3: Cross multiply
    202,882.60x = 304,323.90 × 189,663.40
  4. Step 4: Simplify right side
    202,882.60x = 57,719,105,575.26
  5. Step 5: Solve for x
    x = 57,719,105,575.26/202,882.60
  6. Step 6: Final answer
    x = 284,495.10

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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.