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Finding the Fourth Proportional to 215,715.24, 323,602.02 and 202,593.24

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Solution

The fourth proportional to 215,715.24, 323,602.02 and 202,593.24 is: 303,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,715.24 : 323,602.02 = 202,593.24 : x
  2. Step 2: Convert to fraction form
    215,715.24/323,602.02 = 202,593.24/x
  3. Step 3: Cross multiply
    215,715.24x = 323,602.02 × 202,593.24
  4. Step 4: Simplify right side
    215,715.24x = 65,559,581,702.34
  5. Step 5: Solve for x
    x = 65,559,581,702.34/215,715.24
  6. Step 6: Final answer
    x = 303,917.25

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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.