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Finding the Fourth Proportional to 212,323.72, 293,053.86 and 166,291.72

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Solution

The fourth proportional to 212,323.72, 293,053.86 and 166,291.72 is: 229,519.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,323.72 : 293,053.86 = 166,291.72 : x
  2. Step 2: Convert to fraction form
    212,323.72/293,053.86 = 166,291.72/x
  3. Step 3: Cross multiply
    212,323.72x = 293,053.86 × 166,291.72
  4. Step 4: Simplify right side
    212,323.72x = 48,732,430,432.04
  5. Step 5: Solve for x
    x = 48,732,430,432.04/212,323.72
  6. Step 6: Final answer
    x = 229,519.48

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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.