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Finding the Fourth Proportional to 214,388.42, 295,848.56 and 118,904.00

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Solution

The fourth proportional to 214,388.42, 295,848.56 and 118,904.00 is: 164,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,388.42 : 295,848.56 = 118,904.00 : x
  2. Step 2: Convert to fraction form
    214,388.42/295,848.56 = 118,904.00/x
  3. Step 3: Cross multiply
    214,388.42x = 295,848.56 × 118,904.00
  4. Step 4: Simplify right side
    214,388.42x = 35,177,575,996.26
  5. Step 5: Solve for x
    x = 35,177,575,996.26/214,388.42
  6. Step 6: Final answer
    x = 164,083.38

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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.