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Finding the Fourth Proportional to 309,092.60, 463,293.30 and 131,569.40

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Solution

The fourth proportional to 309,092.60, 463,293.30 and 131,569.40 is: 197,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,092.60 : 463,293.30 = 131,569.40 : x
  2. Step 2: Convert to fraction form
    309,092.60/463,293.30 = 131,569.40/x
  3. Step 3: Cross multiply
    309,092.60x = 463,293.30 × 131,569.40
  4. Step 4: Simplify right side
    309,092.60x = 60,955,221,505.02
  5. Step 5: Solve for x
    x = 60,955,221,505.02/309,092.60
  6. Step 6: Final answer
    x = 197,206.99

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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.