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Finding the Fourth Proportional to 214,105, 295,441.04 and 118,587.80

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Solution

The fourth proportional to 214,105, 295,441.04 and 118,587.80 is: 163,637.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,105 : 295,441.04 = 118,587.80 : x
  2. Step 2: Convert to fraction form
    214,105/295,441.04 = 118,587.80/x
  3. Step 3: Cross multiply
    214,105x = 295,441.04 × 118,587.80
  4. Step 4: Simplify right side
    214,105x = 35,035,702,963.31
  5. Step 5: Solve for x
    x = 35,035,702,963.31/214,105
  6. Step 6: Final answer
    x = 163,637.95

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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.