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Finding the Fourth Proportional to 213,792.83, 320,599.03 and 64,054.41

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Solution

The fourth proportional to 213,792.83, 320,599.03 and 64,054.41 is: 96,054.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,792.83 : 320,599.03 = 64,054.41 : x
  2. Step 2: Convert to fraction form
    213,792.83/320,599.03 = 64,054.41/x
  3. Step 3: Cross multiply
    213,792.83x = 320,599.03 × 64,054.41
  4. Step 4: Simplify right side
    213,792.83x = 20,535,781,713.22
  5. Step 5: Solve for x
    x = 20,535,781,713.22/213,792.83
  6. Step 6: Final answer
    x = 96,054.59

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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.