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Finding the Fourth Proportional to 166,463, 229,718.94 and 91,011.50

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Solution

The fourth proportional to 166,463, 229,718.94 and 91,011.50 is: 125,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,463 : 229,718.94 = 91,011.50 : x
  2. Step 2: Convert to fraction form
    166,463/229,718.94 = 91,011.50/x
  3. Step 3: Cross multiply
    166,463x = 229,718.94 × 91,011.50
  4. Step 4: Simplify right side
    166,463x = 20,907,065,307.81
  5. Step 5: Solve for x
    x = 20,907,065,307.81/166,463
  6. Step 6: Final answer
    x = 125,595.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.