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Finding the Fourth Proportional to 289,404.09, 434,254.16 and 137,772.50

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Solution

The fourth proportional to 289,404.09, 434,254.16 and 137,772.50 is: 206,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,404.09 : 434,254.16 = 137,772.50 : x
  2. Step 2: Convert to fraction form
    289,404.09/434,254.16 = 137,772.50/x
  3. Step 3: Cross multiply
    289,404.09x = 434,254.16 × 137,772.50
  4. Step 4: Simplify right side
    289,404.09x = 59,828,279,431.76
  5. Step 5: Solve for x
    x = 59,828,279,431.76/289,404.09
  6. Step 6: Final answer
    x = 206,729.21

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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.