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Finding the Fourth Proportional to 212,318.82, 293,012.37 and 121,702.86

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Solution

The fourth proportional to 212,318.82, 293,012.37 and 121,702.86 is: 167,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,318.82 : 293,012.37 = 121,702.86 : x
  2. Step 2: Convert to fraction form
    212,318.82/293,012.37 = 121,702.86/x
  3. Step 3: Cross multiply
    212,318.82x = 293,012.37 × 121,702.86
  4. Step 4: Simplify right side
    212,318.82x = 35,660,443,444.38
  5. Step 5: Solve for x
    x = 35,660,443,444.38/212,318.82
  6. Step 6: Final answer
    x = 167,957.05

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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.