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Finding the Fourth Proportional to 289,253.76, 433,714.52 and 154,151.50

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Solution

The fourth proportional to 289,253.76, 433,714.52 and 154,151.50 is: 231,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,253.76 : 433,714.52 = 154,151.50 : x
  2. Step 2: Convert to fraction form
    289,253.76/433,714.52 = 154,151.50/x
  3. Step 3: Cross multiply
    289,253.76x = 433,714.52 × 154,151.50
  4. Step 4: Simplify right side
    289,253.76x = 66,857,743,829.78
  5. Step 5: Solve for x
    x = 66,857,743,829.78/289,253.76
  6. Step 6: Final answer
    x = 231,138.72

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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.