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Finding the Fourth Proportional to 209,593.32, 289,238.80 and 114,099.98

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Solution

The fourth proportional to 209,593.32, 289,238.80 and 114,099.98 is: 157,457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,593.32 : 289,238.80 = 114,099.98 : x
  2. Step 2: Convert to fraction form
    209,593.32/289,238.80 = 114,099.98/x
  3. Step 3: Cross multiply
    209,593.32x = 289,238.80 × 114,099.98
  4. Step 4: Simplify right side
    209,593.32x = 33,002,141,295.22
  5. Step 5: Solve for x
    x = 33,002,141,295.22/209,593.32
  6. Step 6: Final answer
    x = 157,457.98

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1.5x scale

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.