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Finding the Fourth Proportional to 219,787.78, 329,595.40 and 77,602.72

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Solution

The fourth proportional to 219,787.78, 329,595.40 and 77,602.72 is: 116,373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,787.78 : 329,595.40 = 77,602.72 : x
  2. Step 2: Convert to fraction form
    219,787.78/329,595.40 = 77,602.72/x
  3. Step 3: Cross multiply
    219,787.78x = 329,595.40 × 77,602.72
  4. Step 4: Simplify right side
    219,787.78x = 25,577,499,539.49
  5. Step 5: Solve for x
    x = 25,577,499,539.49/219,787.78
  6. Step 6: Final answer
    x = 116,373.62

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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.