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Finding the Fourth Proportional to 205,416.60, 308,124.90 and 137,765.40

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Solution

The fourth proportional to 205,416.60, 308,124.90 and 137,765.40 is: 206,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,416.60 : 308,124.90 = 137,765.40 : x
  2. Step 2: Convert to fraction form
    205,416.60/308,124.90 = 137,765.40/x
  3. Step 3: Cross multiply
    205,416.60x = 308,124.90 × 137,765.40
  4. Step 4: Simplify right side
    205,416.60x = 42,448,950,098.46
  5. Step 5: Solve for x
    x = 42,448,950,098.46/205,416.60
  6. Step 6: Final answer
    x = 206,648.10

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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.