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Finding the Fourth Proportional to 164,253.69, 246,424.32 and 51,936

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Solution

The fourth proportional to 164,253.69, 246,424.32 and 51,936 is: 77,917.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,253.69 : 246,424.32 = 51,936 : x
  2. Step 2: Convert to fraction form
    164,253.69/246,424.32 = 51,936/x
  3. Step 3: Cross multiply
    164,253.69x = 246,424.32 × 51,936
  4. Step 4: Simplify right side
    164,253.69x = 12,798,293,483.52
  5. Step 5: Solve for x
    x = 12,798,293,483.52/164,253.69
  6. Step 6: Final answer
    x = 77,917.84

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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.