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Finding the Fourth Proportional to 357,081.60, 492,756.09 and 195,932.64

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Solution

The fourth proportional to 357,081.60, 492,756.09 and 195,932.64 is: 270,377.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,081.60 : 492,756.09 = 195,932.64 : x
  2. Step 2: Convert to fraction form
    357,081.60/492,756.09 = 195,932.64/x
  3. Step 3: Cross multiply
    357,081.60x = 492,756.09 × 195,932.64
  4. Step 4: Simplify right side
    357,081.60x = 96,547,001,589.78
  5. Step 5: Solve for x
    x = 96,547,001,589.78/357,081.60
  6. Step 6: Final answer
    x = 270,377.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.