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Finding the Fourth Proportional to 202,623.72, 303,663.88 and 157,699.32

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Solution

The fourth proportional to 202,623.72, 303,663.88 and 157,699.32 is: 236,337.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,623.72 : 303,663.88 = 157,699.32 : x
  2. Step 2: Convert to fraction form
    202,623.72/303,663.88 = 157,699.32/x
  3. Step 3: Cross multiply
    202,623.72x = 303,663.88 × 157,699.32
  4. Step 4: Simplify right side
    202,623.72x = 47,887,587,384.56
  5. Step 5: Solve for x
    x = 47,887,587,384.56/202,623.72
  6. Step 6: Final answer
    x = 236,337.52

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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.