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Finding the Fourth Proportional to 179,792.80, 269,689.20 and 116,807.20

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Solution

The fourth proportional to 179,792.80, 269,689.20 and 116,807.20 is: 175,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,792.80 : 269,689.20 = 116,807.20 : x
  2. Step 2: Convert to fraction form
    179,792.80/269,689.20 = 116,807.20/x
  3. Step 3: Cross multiply
    179,792.80x = 269,689.20 × 116,807.20
  4. Step 4: Simplify right side
    179,792.80x = 31,501,640,322.24
  5. Step 5: Solve for x
    x = 31,501,640,322.24/179,792.80
  6. Step 6: Final answer
    x = 175,210.80

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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.