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Finding the Fourth Proportional to 234,047.69, 322,994.97 and 137,238.09

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Solution

The fourth proportional to 234,047.69, 322,994.97 and 137,238.09 is: 189,393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,047.69 : 322,994.97 = 137,238.09 : x
  2. Step 2: Convert to fraction form
    234,047.69/322,994.97 = 137,238.09/x
  3. Step 3: Cross multiply
    234,047.69x = 322,994.97 × 137,238.09
  4. Step 4: Simplify right side
    234,047.69x = 44,327,212,762.41
  5. Step 5: Solve for x
    x = 44,327,212,762.41/234,047.69
  6. Step 6: Final answer
    x = 189,393.93

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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.