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Finding the Fourth Proportional to 164,316.49, 226,755.12 and 92,719.78

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Solution

The fourth proportional to 164,316.49, 226,755.12 and 92,719.78 is: 127,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,316.49 : 226,755.12 = 92,719.78 : x
  2. Step 2: Convert to fraction form
    164,316.49/226,755.12 = 92,719.78/x
  3. Step 3: Cross multiply
    164,316.49x = 226,755.12 × 92,719.78
  4. Step 4: Simplify right side
    164,316.49x = 21,024,684,840.27
  5. Step 5: Solve for x
    x = 21,024,684,840.27/164,316.49
  6. Step 6: Final answer
    x = 127,952.37

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1.5x scale

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.