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Finding the Fourth Proportional to 202,996.70, 304,365.45 and 84,715.10

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Solution

The fourth proportional to 202,996.70, 304,365.45 and 84,715.10 is: 127,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,996.70 : 304,365.45 = 84,715.10 : x
  2. Step 2: Convert to fraction form
    202,996.70/304,365.45 = 84,715.10/x
  3. Step 3: Cross multiply
    202,996.70x = 304,365.45 × 84,715.10
  4. Step 4: Simplify right side
    202,996.70x = 25,784,349,533.30
  5. Step 5: Solve for x
    x = 25,784,349,533.30/202,996.70
  6. Step 6: Final answer
    x = 127,018.56

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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.