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Finding the Fourth Proportional to 164,761.59, 227,332.80 and 96,775.05

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Solution

The fourth proportional to 164,761.59, 227,332.80 and 96,775.05 is: 133,527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,761.59 : 227,332.80 = 96,775.05 : x
  2. Step 2: Convert to fraction form
    164,761.59/227,332.80 = 96,775.05/x
  3. Step 3: Cross multiply
    164,761.59x = 227,332.80 × 96,775.05
  4. Step 4: Simplify right side
    164,761.59x = 22,000,143,086.64
  5. Step 5: Solve for x
    x = 22,000,143,086.64/164,761.59
  6. Step 6: Final answer
    x = 133,527.14

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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.