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Finding the Fourth Proportional to 214,420.80, 295,896.06 and 118,925.40

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Solution

The fourth proportional to 214,420.80, 295,896.06 and 118,925.40 is: 164,114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,420.80 : 295,896.06 = 118,925.40 : x
  2. Step 2: Convert to fraction form
    214,420.80/295,896.06 = 118,925.40/x
  3. Step 3: Cross multiply
    214,420.80x = 295,896.06 × 118,925.40
  4. Step 4: Simplify right side
    214,420.80x = 35,189,557,293.92
  5. Step 5: Solve for x
    x = 35,189,557,293.92/214,420.80
  6. Step 6: Final answer
    x = 164,114.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.