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Finding the Fourth Proportional to 209,653.92, 314,200.62 and 76,408.92

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Solution

The fourth proportional to 209,653.92, 314,200.62 and 76,408.92 is: 114,511.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,653.92 : 314,200.62 = 76,408.92 : x
  2. Step 2: Convert to fraction form
    209,653.92/314,200.62 = 76,408.92/x
  3. Step 3: Cross multiply
    209,653.92x = 314,200.62 × 76,408.92
  4. Step 4: Simplify right side
    209,653.92x = 24,007,730,037.53
  5. Step 5: Solve for x
    x = 24,007,730,037.53/209,653.92
  6. Step 6: Final answer
    x = 114,511.24

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1.5x scale

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.