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Finding the Fourth Proportional to 214,253.28, 295,787.28 and 146,372.32

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Solution

The fourth proportional to 214,253.28, 295,787.28 and 146,372.32 is: 202,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,253.28 : 295,787.28 = 146,372.32 : x
  2. Step 2: Convert to fraction form
    214,253.28/295,787.28 = 146,372.32/x
  3. Step 3: Cross multiply
    214,253.28x = 295,787.28 × 146,372.32
  4. Step 4: Simplify right side
    214,253.28x = 43,295,070,400.09
  5. Step 5: Solve for x
    x = 43,295,070,400.09/214,253.28
  6. Step 6: Final answer
    x = 202,074.25

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1.5x scale

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.