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Finding the Fourth Proportional to 342,653.20, 513,979.80 and 89,933.20

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Solution

The fourth proportional to 342,653.20, 513,979.80 and 89,933.20 is: 134,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,653.20 : 513,979.80 = 89,933.20 : x
  2. Step 2: Convert to fraction form
    342,653.20/513,979.80 = 89,933.20/x
  3. Step 3: Cross multiply
    342,653.20x = 513,979.80 × 89,933.20
  4. Step 4: Simplify right side
    342,653.20x = 46,223,848,149.36
  5. Step 5: Solve for x
    x = 46,223,848,149.36/342,653.20
  6. Step 6: Final answer
    x = 134,899.80

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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.