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Finding the Fourth Proportional to 123,152.69, 184,802.00 and 52,071.44

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Solution

The fourth proportional to 123,152.69, 184,802.00 and 52,071.44 is: 78,138.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,152.69 : 184,802.00 = 52,071.44 : x
  2. Step 2: Convert to fraction form
    123,152.69/184,802.00 = 52,071.44/x
  3. Step 3: Cross multiply
    123,152.69x = 184,802.00 × 52,071.44
  4. Step 4: Simplify right side
    123,152.69x = 9,622,906,456.53
  5. Step 5: Solve for x
    x = 9,622,906,456.53/123,152.69
  6. Step 6: Final answer
    x = 78,138.01

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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.