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Finding the Fourth Proportional to 214,057, 295,398.66 and 118,569.85

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Solution

The fourth proportional to 214,057, 295,398.66 and 118,569.85 is: 163,626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,057 : 295,398.66 = 118,569.85 : x
  2. Step 2: Convert to fraction form
    214,057/295,398.66 = 118,569.85/x
  3. Step 3: Cross multiply
    214,057x = 295,398.66 × 118,569.85
  4. Step 4: Simplify right side
    214,057x = 35,025,374,806.40
  5. Step 5: Solve for x
    x = 35,025,374,806.40/214,057
  6. Step 6: Final answer
    x = 163,626.39

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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.