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Finding the Fourth Proportional to 152,042.32, 209,824.32 and 100,967

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Solution

The fourth proportional to 152,042.32, 209,824.32 and 100,967 is: 139,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,042.32 : 209,824.32 = 100,967 : x
  2. Step 2: Convert to fraction form
    152,042.32/209,824.32 = 100,967/x
  3. Step 3: Cross multiply
    152,042.32x = 209,824.32 × 100,967
  4. Step 4: Simplify right side
    152,042.32x = 21,185,332,117.44
  5. Step 5: Solve for x
    x = 21,185,332,117.44/152,042.32
  6. Step 6: Final answer
    x = 139,338.39

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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.