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Finding the Fourth Proportional to 214,187.76, 295,580.76 and 118,696

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Solution

The fourth proportional to 214,187.76, 295,580.76 and 118,696 is: 163,801.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,187.76 : 295,580.76 = 118,696 : x
  2. Step 2: Convert to fraction form
    214,187.76/295,580.76 = 118,696/x
  3. Step 3: Cross multiply
    214,187.76x = 295,580.76 × 118,696
  4. Step 4: Simplify right side
    214,187.76x = 35,084,253,888.96
  5. Step 5: Solve for x
    x = 35,084,253,888.96/214,187.76
  6. Step 6: Final answer
    x = 163,801.40

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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.