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Finding the Fourth Proportional to 177,083.98, 244,368.66 and 96,509.77

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Solution

The fourth proportional to 177,083.98, 244,368.66 and 96,509.77 is: 133,179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,083.98 : 244,368.66 = 96,509.77 : x
  2. Step 2: Convert to fraction form
    177,083.98/244,368.66 = 96,509.77/x
  3. Step 3: Cross multiply
    177,083.98x = 244,368.66 × 96,509.77
  4. Step 4: Simplify right side
    177,083.98x = 23,583,963,171.81
  5. Step 5: Solve for x
    x = 23,583,963,171.81/177,083.98
  6. Step 6: Final answer
    x = 133,179.54

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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.