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Finding the Fourth Proportional to 134,678, 202,046.16 and 51,572

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Solution

The fourth proportional to 134,678, 202,046.16 and 51,572 is: 77,369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,678 : 202,046.16 = 51,572 : x
  2. Step 2: Convert to fraction form
    134,678/202,046.16 = 51,572/x
  3. Step 3: Cross multiply
    134,678x = 202,046.16 × 51,572
  4. Step 4: Simplify right side
    134,678x = 10,419,924,563.52
  5. Step 5: Solve for x
    x = 10,419,924,563.52/134,678
  6. Step 6: Final answer
    x = 77,369.17

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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.