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Finding the Fourth Proportional to 202,104.48, 278,900.50 and 111,468.84

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Solution

The fourth proportional to 202,104.48, 278,900.50 and 111,468.84 is: 153,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,104.48 : 278,900.50 = 111,468.84 : x
  2. Step 2: Convert to fraction form
    202,104.48/278,900.50 = 111,468.84/x
  3. Step 3: Cross multiply
    202,104.48x = 278,900.50 × 111,468.84
  4. Step 4: Simplify right side
    202,104.48x = 31,088,715,210.42
  5. Step 5: Solve for x
    x = 31,088,715,210.42/202,104.48
  6. Step 6: Final answer
    x = 153,824.97

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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.