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Finding the Fourth Proportional to 166,524, 249,868.01 and 77,764.60

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Solution

The fourth proportional to 166,524, 249,868.01 and 77,764.60 is: 116,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,524 : 249,868.01 = 77,764.60 : x
  2. Step 2: Convert to fraction form
    166,524/249,868.01 = 77,764.60/x
  3. Step 3: Cross multiply
    166,524x = 249,868.01 × 77,764.60
  4. Step 4: Simplify right side
    166,524x = 19,430,885,850.45
  5. Step 5: Solve for x
    x = 19,430,885,850.45/166,524
  6. Step 6: Final answer
    x = 116,685.20

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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.