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Finding the Fourth Proportional to 164,854.14, 227,510.94 and 92,264.32

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Solution

The fourth proportional to 164,854.14, 227,510.94 and 92,264.32 is: 127,331.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,854.14 : 227,510.94 = 92,264.32 : x
  2. Step 2: Convert to fraction form
    164,854.14/227,510.94 = 92,264.32/x
  3. Step 3: Cross multiply
    164,854.14x = 227,510.94 × 92,264.32
  4. Step 4: Simplify right side
    164,854.14x = 20,991,142,171.66
  5. Step 5: Solve for x
    x = 20,991,142,171.66/164,854.14
  6. Step 6: Final answer
    x = 127,331.60

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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.