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Finding the Fourth Proportional to 277,254.41, 382,609.68 and 149,929.70

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Solution

The fourth proportional to 277,254.41, 382,609.68 and 149,929.70 is: 206,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,254.41 : 382,609.68 = 149,929.70 : x
  2. Step 2: Convert to fraction form
    277,254.41/382,609.68 = 149,929.70/x
  3. Step 3: Cross multiply
    277,254.41x = 382,609.68 × 149,929.70
  4. Step 4: Simplify right side
    277,254.41x = 57,364,554,539.50
  5. Step 5: Solve for x
    x = 57,364,554,539.50/277,254.41
  6. Step 6: Final answer
    x = 206,902.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.