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Finding the Fourth Proportional to 202,001.10, 302,999.78 and 77,342.10

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Solution

The fourth proportional to 202,001.10, 302,999.78 and 77,342.10 is: 116,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,001.10 : 302,999.78 = 77,342.10 : x
  2. Step 2: Convert to fraction form
    202,001.10/302,999.78 = 77,342.10/x
  3. Step 3: Cross multiply
    202,001.10x = 302,999.78 × 77,342.10
  4. Step 4: Simplify right side
    202,001.10x = 23,434,638,898.03
  5. Step 5: Solve for x
    x = 23,434,638,898.03/202,001.10
  6. Step 6: Final answer
    x = 116,012.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.