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Finding the Fourth Proportional to 289,054.80, 433,582.20 and 149,086.80

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Solution

The fourth proportional to 289,054.80, 433,582.20 and 149,086.80 is: 223,630.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,054.80 : 433,582.20 = 149,086.80 : x
  2. Step 2: Convert to fraction form
    289,054.80/433,582.20 = 149,086.80/x
  3. Step 3: Cross multiply
    289,054.80x = 433,582.20 × 149,086.80
  4. Step 4: Simplify right side
    289,054.80x = 64,641,382,734.96
  5. Step 5: Solve for x
    x = 64,641,382,734.96/289,054.80
  6. Step 6: Final answer
    x = 223,630.20

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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.