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Finding the Fourth Proportional to 207,633.30, 311,795.55 and 114,206.10

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Solution

The fourth proportional to 207,633.30, 311,795.55 and 114,206.10 is: 171,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,633.30 : 311,795.55 = 114,206.10 : x
  2. Step 2: Convert to fraction form
    207,633.30/311,795.55 = 114,206.10/x
  3. Step 3: Cross multiply
    207,633.30x = 311,795.55 × 114,206.10
  4. Step 4: Simplify right side
    207,633.30x = 35,608,953,762.86
  5. Step 5: Solve for x
    x = 35,608,953,762.86/207,633.30
  6. Step 6: Final answer
    x = 171,499.24

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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.