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Finding the Fourth Proportional to 164,652.48, 227,224.91 and 93,031.07

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Solution

The fourth proportional to 164,652.48, 227,224.91 and 93,031.07 is: 128,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,652.48 : 227,224.91 = 93,031.07 : x
  2. Step 2: Convert to fraction form
    164,652.48/227,224.91 = 93,031.07/x
  3. Step 3: Cross multiply
    164,652.48x = 227,224.91 × 93,031.07
  4. Step 4: Simplify right side
    164,652.48x = 21,138,975,604.41
  5. Step 5: Solve for x
    x = 21,138,975,604.41/164,652.48
  6. Step 6: Final answer
    x = 128,385.41

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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.