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Finding the Fourth Proportional to 289,542.64, 434,371.90 and 100,009.93

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Solution

The fourth proportional to 289,542.64, 434,371.90 and 100,009.93 is: 150,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,542.64 : 434,371.90 = 100,009.93 : x
  2. Step 2: Convert to fraction form
    289,542.64/434,371.90 = 100,009.93/x
  3. Step 3: Cross multiply
    289,542.64x = 434,371.90 × 100,009.93
  4. Step 4: Simplify right side
    289,542.64x = 43,441,503,312.97
  5. Step 5: Solve for x
    x = 43,441,503,312.97/289,542.64
  6. Step 6: Final answer
    x = 150,034.91

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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.