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Finding the Fourth Proportional to 164,878, 227,531.66 and 93,256.48

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Solution

The fourth proportional to 164,878, 227,531.66 and 93,256.48 is: 128,693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,878 : 227,531.66 = 93,256.48 : x
  2. Step 2: Convert to fraction form
    164,878/227,531.66 = 93,256.48/x
  3. Step 3: Cross multiply
    164,878x = 227,531.66 × 93,256.48
  4. Step 4: Simplify right side
    164,878x = 21,218,801,233.87
  5. Step 5: Solve for x
    x = 21,218,801,233.87/164,878
  6. Step 6: Final answer
    x = 128,693.95

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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.