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Finding the Fourth Proportional to 179,583.76, 269,193.73 and 116,443.93

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Solution

The fourth proportional to 179,583.76, 269,193.73 and 116,443.93 is: 174,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,583.76 : 269,193.73 = 116,443.93 : x
  2. Step 2: Convert to fraction form
    179,583.76/269,193.73 = 116,443.93/x
  3. Step 3: Cross multiply
    179,583.76x = 269,193.73 × 116,443.93
  4. Step 4: Simplify right side
    179,583.76x = 31,345,975,611.54
  5. Step 5: Solve for x
    x = 31,345,975,611.54/179,583.76
  6. Step 6: Final answer
    x = 174,547.94

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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.