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Finding the Fourth Proportional to 289,048.80, 433,378.80 and 154,135.20

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Solution

The fourth proportional to 289,048.80, 433,378.80 and 154,135.20 is: 231,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,048.80 : 433,378.80 = 154,135.20 : x
  2. Step 2: Convert to fraction form
    289,048.80/433,378.80 = 154,135.20/x
  3. Step 3: Cross multiply
    289,048.80x = 433,378.80 × 154,135.20
  4. Step 4: Simplify right side
    289,048.80x = 66,798,928,013.76
  5. Step 5: Solve for x
    x = 66,798,928,013.76/289,048.80
  6. Step 6: Final answer
    x = 231,099.14

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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.