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Finding the Fourth Proportional to 301,856.36, 416,541.65 and 165,887.37

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Solution

The fourth proportional to 301,856.36, 416,541.65 and 165,887.37 is: 228,913.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,856.36 : 416,541.65 = 165,887.37 : x
  2. Step 2: Convert to fraction form
    301,856.36/416,541.65 = 165,887.37/x
  3. Step 3: Cross multiply
    301,856.36x = 416,541.65 × 165,887.37
  4. Step 4: Simplify right side
    301,856.36x = 69,098,997,984.52
  5. Step 5: Solve for x
    x = 69,098,997,984.52/301,856.36
  6. Step 6: Final answer
    x = 228,913.51

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Why These Related Problems?

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