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Finding the Fourth Proportional to 206,916.10, 310,374.15 and 206,916.10

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Solution

The fourth proportional to 206,916.10, 310,374.15 and 206,916.10 is: 310,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,916.10 : 310,374.15 = 206,916.10 : x
  2. Step 2: Convert to fraction form
    206,916.10/310,374.15 = 206,916.10/x
  3. Step 3: Cross multiply
    206,916.10x = 310,374.15 × 206,916.10
  4. Step 4: Simplify right side
    206,916.10x = 64,221,408,658.82
  5. Step 5: Solve for x
    x = 64,221,408,658.82/206,916.10
  6. Step 6: Final answer
    x = 310,374.15

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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.