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Finding the Fourth Proportional to 164,557.46, 227,084.72 and 97,489.46

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Solution

The fourth proportional to 164,557.46, 227,084.72 and 97,489.46 is: 134,532.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,557.46 : 227,084.72 = 97,489.46 : x
  2. Step 2: Convert to fraction form
    164,557.46/227,084.72 = 97,489.46/x
  3. Step 3: Cross multiply
    164,557.46x = 227,084.72 × 97,489.46
  4. Step 4: Simplify right side
    164,557.46x = 22,138,366,727.05
  5. Step 5: Solve for x
    x = 22,138,366,727.05/164,557.46
  6. Step 6: Final answer
    x = 134,532.74

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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.