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Finding the Fourth Proportional to 234,019.41, 322,844.17 and 137,174.16

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Solution

The fourth proportional to 234,019.41, 322,844.17 and 137,174.16 is: 189,240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,019.41 : 322,844.17 = 137,174.16 : x
  2. Step 2: Convert to fraction form
    234,019.41/322,844.17 = 137,174.16/x
  3. Step 3: Cross multiply
    234,019.41x = 322,844.17 × 137,174.16
  4. Step 4: Simplify right side
    234,019.41x = 44,285,877,830.65
  5. Step 5: Solve for x
    x = 44,285,877,830.65/234,019.41
  6. Step 6: Final answer
    x = 189,240.19

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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.