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Finding the Fourth Proportional to 227,787.84, 341,444 and 77,984

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Solution

The fourth proportional to 227,787.84, 341,444 and 77,984 is: 116,894.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,787.84 : 341,444 = 77,984 : x
  2. Step 2: Convert to fraction form
    227,787.84/341,444 = 77,984/x
  3. Step 3: Cross multiply
    227,787.84x = 341,444 × 77,984
  4. Step 4: Simplify right side
    227,787.84x = 26,627,168,896
  5. Step 5: Solve for x
    x = 26,627,168,896/227,787.84
  6. Step 6: Final answer
    x = 116,894.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.