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Finding the Fourth Proportional to 277,435.87, 382,862.82 and 156,582.25

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Solution

The fourth proportional to 277,435.87, 382,862.82 and 156,582.25 is: 216,084.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,435.87 : 382,862.82 = 156,582.25 : x
  2. Step 2: Convert to fraction form
    277,435.87/382,862.82 = 156,582.25/x
  3. Step 3: Cross multiply
    277,435.87x = 382,862.82 × 156,582.25
  4. Step 4: Simplify right side
    277,435.87x = 59,949,521,796.95
  5. Step 5: Solve for x
    x = 59,949,521,796.95/277,435.87
  6. Step 6: Final answer
    x = 216,084.25

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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.