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Finding the Fourth Proportional to 277,218.76, 382,562.16 and 149,894.32

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Solution

The fourth proportional to 277,218.76, 382,562.16 and 149,894.32 is: 206,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,218.76 : 382,562.16 = 149,894.32 : x
  2. Step 2: Convert to fraction form
    277,218.76/382,562.16 = 149,894.32/x
  3. Step 3: Cross multiply
    277,218.76x = 382,562.16 × 149,894.32
  4. Step 4: Simplify right side
    277,218.76x = 57,343,894,830.93
  5. Step 5: Solve for x
    x = 57,343,894,830.93/277,218.76
  6. Step 6: Final answer
    x = 206,854.31

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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.