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Finding the Fourth Proportional to 213,386.92, 294,224.16 and 145,444.12

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Solution

The fourth proportional to 213,386.92, 294,224.16 and 145,444.12 is: 200,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,386.92 : 294,224.16 = 145,444.12 : x
  2. Step 2: Convert to fraction form
    213,386.92/294,224.16 = 145,444.12/x
  3. Step 3: Cross multiply
    213,386.92x = 294,224.16 × 145,444.12
  4. Step 4: Simplify right side
    213,386.92x = 42,793,174,033.94
  5. Step 5: Solve for x
    x = 42,793,174,033.94/213,386.92
  6. Step 6: Final answer
    x = 200,542.63

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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.