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Finding the Fourth Proportional to 206,141.40, 309,212.10 and 93,875.40

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Solution

The fourth proportional to 206,141.40, 309,212.10 and 93,875.40 is: 140,813.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,141.40 : 309,212.10 = 93,875.40 : x
  2. Step 2: Convert to fraction form
    206,141.40/309,212.10 = 93,875.40/x
  3. Step 3: Cross multiply
    206,141.40x = 309,212.10 × 93,875.40
  4. Step 4: Simplify right side
    206,141.40x = 29,027,409,572.34
  5. Step 5: Solve for x
    x = 29,027,409,572.34/206,141.40
  6. Step 6: Final answer
    x = 140,813.10

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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.