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Finding the Fourth Proportional to 289,057.65, 433,680.77 and 129,114.10

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Solution

The fourth proportional to 289,057.65, 433,680.77 and 129,114.10 is: 193,713.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,057.65 : 433,680.77 = 129,114.10 : x
  2. Step 2: Convert to fraction form
    289,057.65/433,680.77 = 129,114.10/x
  3. Step 3: Cross multiply
    289,057.65x = 433,680.77 × 129,114.10
  4. Step 4: Simplify right side
    289,057.65x = 55,994,302,305.86
  5. Step 5: Solve for x
    x = 55,994,302,305.86/289,057.65
  6. Step 6: Final answer
    x = 193,713.27

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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.