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Finding the Fourth Proportional to 166,205.70, 249,308.55 and 147,834.90

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Solution

The fourth proportional to 166,205.70, 249,308.55 and 147,834.90 is: 221,752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,205.70 : 249,308.55 = 147,834.90 : x
  2. Step 2: Convert to fraction form
    166,205.70/249,308.55 = 147,834.90/x
  3. Step 3: Cross multiply
    166,205.70x = 249,308.55 × 147,834.90
  4. Step 4: Simplify right side
    166,205.70x = 36,856,504,558.40
  5. Step 5: Solve for x
    x = 36,856,504,558.40/166,205.70
  6. Step 6: Final answer
    x = 221,752.35

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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.