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Finding the Fourth Proportional to 213,393.48, 294,457.92 and 117,894.48

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Solution

The fourth proportional to 213,393.48, 294,457.92 and 117,894.48 is: 162,680.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,393.48 : 294,457.92 = 117,894.48 : x
  2. Step 2: Convert to fraction form
    213,393.48/294,457.92 = 117,894.48/x
  3. Step 3: Cross multiply
    213,393.48x = 294,457.92 × 117,894.48
  4. Step 4: Simplify right side
    213,393.48x = 34,714,963,360.28
  5. Step 5: Solve for x
    x = 34,714,963,360.28/213,393.48
  6. Step 6: Final answer
    x = 162,680.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.