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Finding the Fourth Proportional to 316,689.52, 475,057.32 and 106,325.68

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Solution

The fourth proportional to 316,689.52, 475,057.32 and 106,325.68 is: 159,496.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,689.52 : 475,057.32 = 106,325.68 : x
  2. Step 2: Convert to fraction form
    316,689.52/475,057.32 = 106,325.68/x
  3. Step 3: Cross multiply
    316,689.52x = 475,057.32 × 106,325.68
  4. Step 4: Simplify right side
    316,689.52x = 50,510,792,587.98
  5. Step 5: Solve for x
    x = 50,510,792,587.98/316,689.52
  6. Step 6: Final answer
    x = 159,496.26

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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.