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Finding the Fourth Proportional to 209,792.66, 314,686.67 and 125,576.33

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Solution

The fourth proportional to 209,792.66, 314,686.67 and 125,576.33 is: 188,363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,792.66 : 314,686.67 = 125,576.33 : x
  2. Step 2: Convert to fraction form
    209,792.66/314,686.67 = 125,576.33/x
  3. Step 3: Cross multiply
    209,792.66x = 314,686.67 × 125,576.33
  4. Step 4: Simplify right side
    209,792.66x = 39,517,194,917.21
  5. Step 5: Solve for x
    x = 39,517,194,917.21/209,792.66
  6. Step 6: Final answer
    x = 188,363.10

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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.