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Finding the Fourth Proportional to 213,233.48, 294,256.53 and 117,738.12

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Solution

The fourth proportional to 213,233.48, 294,256.53 and 117,738.12 is: 162,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,233.48 : 294,256.53 = 117,738.12 : x
  2. Step 2: Convert to fraction form
    213,233.48/294,256.53 = 117,738.12/x
  3. Step 3: Cross multiply
    213,233.48x = 294,256.53 × 117,738.12
  4. Step 4: Simplify right side
    213,233.48x = 34,645,210,639.92
  5. Step 5: Solve for x
    x = 34,645,210,639.92/213,233.48
  6. Step 6: Final answer
    x = 162,475.48

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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.