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Finding the Fourth Proportional to 212,108.52, 292,702.23 and 116,614.47

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Solution

The fourth proportional to 212,108.52, 292,702.23 and 116,614.47 is: 160,923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,108.52 : 292,702.23 = 116,614.47 : x
  2. Step 2: Convert to fraction form
    212,108.52/292,702.23 = 116,614.47/x
  3. Step 3: Cross multiply
    212,108.52x = 292,702.23 × 116,614.47
  4. Step 4: Simplify right side
    212,108.52x = 34,133,315,419.27
  5. Step 5: Solve for x
    x = 34,133,315,419.27/212,108.52
  6. Step 6: Final answer
    x = 160,923.83

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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.