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Finding the Fourth Proportional to 214,251.28, 295,784.52 and 146,370.32

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Solution

The fourth proportional to 214,251.28, 295,784.52 and 146,370.32 is: 202,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,251.28 : 295,784.52 = 146,370.32 : x
  2. Step 2: Convert to fraction form
    214,251.28/295,784.52 = 146,370.32/x
  3. Step 3: Cross multiply
    214,251.28x = 295,784.52 × 146,370.32
  4. Step 4: Simplify right side
    214,251.28x = 43,294,074,843.45
  5. Step 5: Solve for x
    x = 43,294,074,843.45/214,251.28
  6. Step 6: Final answer
    x = 202,071.49

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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.