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Finding the Fourth Proportional to 277,275.95, 382,641.96 and 149,951.54

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Solution

The fourth proportional to 277,275.95, 382,641.96 and 149,951.54 is: 206,933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,275.95 : 382,641.96 = 149,951.54 : x
  2. Step 2: Convert to fraction form
    277,275.95/382,641.96 = 149,951.54/x
  3. Step 3: Cross multiply
    277,275.95x = 382,641.96 × 149,951.54
  4. Step 4: Simplify right side
    277,275.95x = 57,377,750,420.86
  5. Step 5: Solve for x
    x = 57,377,750,420.86/277,275.95
  6. Step 6: Final answer
    x = 206,933.75

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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.