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Finding the Fourth Proportional to 119,893.50, 179,747.19 and 77,684.40

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Solution

The fourth proportional to 119,893.50, 179,747.19 and 77,684.40 is: 116,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,893.50 : 179,747.19 = 77,684.40 : x
  2. Step 2: Convert to fraction form
    119,893.50/179,747.19 = 77,684.40/x
  3. Step 3: Cross multiply
    119,893.50x = 179,747.19 × 77,684.40
  4. Step 4: Simplify right side
    119,893.50x = 13,963,552,606.84
  5. Step 5: Solve for x
    x = 13,963,552,606.84/119,893.50
  6. Step 6: Final answer
    x = 116,466.30

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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.