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Finding the Fourth Proportional to 228,708.32, 315,513.97 and 138,035.30

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Solution

The fourth proportional to 228,708.32, 315,513.97 and 138,035.30 is: 190,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,708.32 : 315,513.97 = 138,035.30 : x
  2. Step 2: Convert to fraction form
    228,708.32/315,513.97 = 138,035.30/x
  3. Step 3: Cross multiply
    228,708.32x = 315,513.97 × 138,035.30
  4. Step 4: Simplify right side
    228,708.32x = 43,552,063,580.48
  5. Step 5: Solve for x
    x = 43,552,063,580.48/228,708.32
  6. Step 6: Final answer
    x = 190,426.24

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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.