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Finding the Fourth Proportional to 153,902.98, 212,474.46 and 117,317.26

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Solution

The fourth proportional to 153,902.98, 212,474.46 and 117,317.26 is: 161,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,902.98 : 212,474.46 = 117,317.26 : x
  2. Step 2: Convert to fraction form
    153,902.98/212,474.46 = 117,317.26/x
  3. Step 3: Cross multiply
    153,902.98x = 212,474.46 × 117,317.26
  4. Step 4: Simplify right side
    153,902.98x = 24,926,921,467.18
  5. Step 5: Solve for x
    x = 24,926,921,467.18/153,902.98
  6. Step 6: Final answer
    x = 161,965.16

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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.