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Finding the Fourth Proportional to 205,915.70, 309,073.28 and 99,374.63

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Solution

The fourth proportional to 205,915.70, 309,073.28 and 99,374.63 is: 149,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,915.70 : 309,073.28 = 99,374.63 : x
  2. Step 2: Convert to fraction form
    205,915.70/309,073.28 = 99,374.63/x
  3. Step 3: Cross multiply
    205,915.70x = 309,073.28 × 99,374.63
  4. Step 4: Simplify right side
    205,915.70x = 30,714,042,842.89
  5. Step 5: Solve for x
    x = 30,714,042,842.89/205,915.70
  6. Step 6: Final answer
    x = 149,158.33

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1.5x scale

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.