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Finding the Fourth Proportional to 277,435.92, 382,859.52 and 150,109.68

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Solution

The fourth proportional to 277,435.92, 382,859.52 and 150,109.68 is: 207,150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,435.92 : 382,859.52 = 150,109.68 : x
  2. Step 2: Convert to fraction form
    277,435.92/382,859.52 = 150,109.68/x
  3. Step 3: Cross multiply
    277,435.92x = 382,859.52 × 150,109.68
  4. Step 4: Simplify right side
    277,435.92x = 57,470,920,032.15
  5. Step 5: Solve for x
    x = 57,470,920,032.15/277,435.92
  6. Step 6: Final answer
    x = 207,150.25

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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.