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Finding the Fourth Proportional to 218,397.78, 301,364.19 and 122,902.02

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Solution

The fourth proportional to 218,397.78, 301,364.19 and 122,902.02 is: 169,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,397.78 : 301,364.19 = 122,902.02 : x
  2. Step 2: Convert to fraction form
    218,397.78/301,364.19 = 122,902.02/x
  3. Step 3: Cross multiply
    218,397.78x = 301,364.19 × 122,902.02
  4. Step 4: Simplify right side
    218,397.78x = 37,038,267,706.66
  5. Step 5: Solve for x
    x = 37,038,267,706.66/218,397.78
  6. Step 6: Final answer
    x = 169,590.86

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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.