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Finding the Fourth Proportional to 164,509.71, 227,019.22 and 91,913.16

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Solution

The fourth proportional to 164,509.71, 227,019.22 and 91,913.16 is: 126,837.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,509.71 : 227,019.22 = 91,913.16 : x
  2. Step 2: Convert to fraction form
    164,509.71/227,019.22 = 91,913.16/x
  3. Step 3: Cross multiply
    164,509.71x = 227,019.22 × 91,913.16
  4. Step 4: Simplify right side
    164,509.71x = 20,866,053,890.94
  5. Step 5: Solve for x
    x = 20,866,053,890.94/164,509.71
  6. Step 6: Final answer
    x = 126,837.83

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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.