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Finding the Fourth Proportional to 202,001.48, 303,000.35 and 77,342.48

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Solution

The fourth proportional to 202,001.48, 303,000.35 and 77,342.48 is: 116,013.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,001.48 : 303,000.35 = 77,342.48 : x
  2. Step 2: Convert to fraction form
    202,001.48/303,000.35 = 77,342.48/x
  3. Step 3: Cross multiply
    202,001.48x = 303,000.35 × 77,342.48
  4. Step 4: Simplify right side
    202,001.48x = 23,434,797,744.41
  5. Step 5: Solve for x
    x = 23,434,797,744.41/202,001.48
  6. Step 6: Final answer
    x = 116,013.00

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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.