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Finding the Fourth Proportional to 185,712.36, 256,280.42 and 100,832.68

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Solution

The fourth proportional to 185,712.36, 256,280.42 and 100,832.68 is: 139,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,712.36 : 256,280.42 = 100,832.68 : x
  2. Step 2: Convert to fraction form
    185,712.36/256,280.42 = 100,832.68/x
  3. Step 3: Cross multiply
    185,712.36x = 256,280.42 × 100,832.68
  4. Step 4: Simplify right side
    185,712.36x = 25,841,441,580.13
  5. Step 5: Solve for x
    x = 25,841,441,580.13/185,712.36
  6. Step 6: Final answer
    x = 139,147.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.