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Finding the Fourth Proportional to 209,593.94, 314,437.30 and 76,473.82

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Solution

The fourth proportional to 209,593.94, 314,437.30 and 76,473.82 is: 114,727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,593.94 : 314,437.30 = 76,473.82 : x
  2. Step 2: Convert to fraction form
    209,593.94/314,437.30 = 76,473.82/x
  3. Step 3: Cross multiply
    209,593.94x = 314,437.30 × 76,473.82
  4. Step 4: Simplify right side
    209,593.94x = 24,046,219,909.30
  5. Step 5: Solve for x
    x = 24,046,219,909.30/209,593.94
  6. Step 6: Final answer
    x = 114,727.65

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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.