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Finding the Fourth Proportional to 213,294.48, 294,343.92 and 116,497.86

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Solution

The fourth proportional to 213,294.48, 294,343.92 and 116,497.86 is: 160,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,294.48 : 294,343.92 = 116,497.86 : x
  2. Step 2: Convert to fraction form
    213,294.48/294,343.92 = 116,497.86/x
  3. Step 3: Cross multiply
    213,294.48x = 294,343.92 × 116,497.86
  4. Step 4: Simplify right side
    213,294.48x = 34,290,436,784.01
  5. Step 5: Solve for x
    x = 34,290,436,784.01/213,294.48
  6. Step 6: Final answer
    x = 160,765.70

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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.