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Finding the Fourth Proportional to 234,014.64, 322,837.62 and 137,169.40

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Solution

The fourth proportional to 234,014.64, 322,837.62 and 137,169.40 is: 189,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,014.64 : 322,837.62 = 137,169.40 : x
  2. Step 2: Convert to fraction form
    234,014.64/322,837.62 = 137,169.40/x
  3. Step 3: Cross multiply
    234,014.64x = 322,837.62 × 137,169.40
  4. Step 4: Simplify right side
    234,014.64x = 44,283,443,074.04
  5. Step 5: Solve for x
    x = 44,283,443,074.04/234,014.64
  6. Step 6: Final answer
    x = 189,233.64

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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.