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Finding the Fourth Proportional to 166,016, 249,021.48 and 77,219.84

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Solution

The fourth proportional to 166,016, 249,021.48 and 77,219.84 is: 115,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,016 : 249,021.48 = 77,219.84 : x
  2. Step 2: Convert to fraction form
    166,016/249,021.48 = 77,219.84/x
  3. Step 3: Cross multiply
    166,016x = 249,021.48 × 77,219.84
  4. Step 4: Simplify right side
    166,016x = 19,229,398,842.16
  5. Step 5: Solve for x
    x = 19,229,398,842.16/166,016
  6. Step 6: Final answer
    x = 115,828.59

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Why These Related Problems?

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