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Finding the Fourth Proportional to 277,477.76, 382,920.32 and 150,153.36

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Solution

The fourth proportional to 277,477.76, 382,920.32 and 150,153.36 is: 207,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,477.76 : 382,920.32 = 150,153.36 : x
  2. Step 2: Convert to fraction form
    277,477.76/382,920.32 = 150,153.36/x
  3. Step 3: Cross multiply
    277,477.76x = 382,920.32 × 150,153.36
  4. Step 4: Simplify right side
    277,477.76x = 57,496,772,660.28
  5. Step 5: Solve for x
    x = 57,496,772,660.28/277,477.76
  6. Step 6: Final answer
    x = 207,212.18

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