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Finding the Fourth Proportional to 211,628.40, 317,442.60 and 164,916.24

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Solution

The fourth proportional to 211,628.40, 317,442.60 and 164,916.24 is: 247,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,628.40 : 317,442.60 = 164,916.24 : x
  2. Step 2: Convert to fraction form
    211,628.40/317,442.60 = 164,916.24/x
  3. Step 3: Cross multiply
    211,628.40x = 317,442.60 × 164,916.24
  4. Step 4: Simplify right side
    211,628.40x = 52,351,440,007.82
  5. Step 5: Solve for x
    x = 52,351,440,007.82/211,628.40
  6. Step 6: Final answer
    x = 247,374.36

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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.