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Finding the Fourth Proportional to 289,254.76, 433,716.02 and 154,152.50

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Solution

The fourth proportional to 289,254.76, 433,716.02 and 154,152.50 is: 231,140.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,254.76 : 433,716.02 = 154,152.50 : x
  2. Step 2: Convert to fraction form
    289,254.76/433,716.02 = 154,152.50/x
  3. Step 3: Cross multiply
    289,254.76x = 433,716.02 × 154,152.50
  4. Step 4: Simplify right side
    289,254.76x = 66,858,408,773.05
  5. Step 5: Solve for x
    x = 66,858,408,773.05/289,254.76
  6. Step 6: Final answer
    x = 231,140.22

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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.