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Finding the Fourth Proportional to 166,417, 249,576.24 and 48,089.44

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Solution

The fourth proportional to 166,417, 249,576.24 and 48,089.44 is: 72,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,417 : 249,576.24 = 48,089.44 : x
  2. Step 2: Convert to fraction form
    166,417/249,576.24 = 48,089.44/x
  3. Step 3: Cross multiply
    166,417x = 249,576.24 × 48,089.44
  4. Step 4: Simplify right side
    166,417x = 12,001,981,618.91
  5. Step 5: Solve for x
    x = 12,001,981,618.91/166,417
  6. Step 6: Final answer
    x = 72,119.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.