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Finding the Fourth Proportional to 166,712.18, 249,947.31 and 77,916.02

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Solution

The fourth proportional to 166,712.18, 249,947.31 and 77,916.02 is: 116,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,712.18 : 249,947.31 = 77,916.02 : x
  2. Step 2: Convert to fraction form
    166,712.18/249,947.31 = 77,916.02/x
  3. Step 3: Cross multiply
    166,712.18x = 249,947.31 × 77,916.02
  4. Step 4: Simplify right side
    166,712.18x = 19,474,899,604.91
  5. Step 5: Solve for x
    x = 19,474,899,604.91/166,712.18
  6. Step 6: Final answer
    x = 116,817.50

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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.