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Finding the Fourth Proportional to 164,680.60, 227,263.64 and 100,127.64

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Solution

The fourth proportional to 164,680.60, 227,263.64 and 100,127.64 is: 138,178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,680.60 : 227,263.64 = 100,127.64 : x
  2. Step 2: Convert to fraction form
    164,680.60/227,263.64 = 100,127.64/x
  3. Step 3: Cross multiply
    164,680.60x = 227,263.64 × 100,127.64
  4. Step 4: Simplify right side
    164,680.60x = 22,755,371,931.01
  5. Step 5: Solve for x
    x = 22,755,371,931.01/164,680.60
  6. Step 6: Final answer
    x = 138,178.83

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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.