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Finding the Fourth Proportional to 228,434.64, 315,382.77 and 146,795.94

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Solution

The fourth proportional to 228,434.64, 315,382.77 and 146,795.94 is: 202,670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,434.64 : 315,382.77 = 146,795.94 : x
  2. Step 2: Convert to fraction form
    228,434.64/315,382.77 = 146,795.94/x
  3. Step 3: Cross multiply
    228,434.64x = 315,382.77 × 146,795.94
  4. Step 4: Simplify right side
    228,434.64x = 46,296,910,181.95
  5. Step 5: Solve for x
    x = 46,296,910,181.95/228,434.64
  6. Step 6: Final answer
    x = 202,670.27

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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.