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Finding the Fourth Proportional to 217,711.70, 326,567.55 and 164,567.60

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Solution

The fourth proportional to 217,711.70, 326,567.55 and 164,567.60 is: 246,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,711.70 : 326,567.55 = 164,567.60 : x
  2. Step 2: Convert to fraction form
    217,711.70/326,567.55 = 164,567.60/x
  3. Step 3: Cross multiply
    217,711.70x = 326,567.55 × 164,567.60
  4. Step 4: Simplify right side
    217,711.70x = 53,742,437,941.38
  5. Step 5: Solve for x
    x = 53,742,437,941.38/217,711.70
  6. Step 6: Final answer
    x = 246,851.40

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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.