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Finding the Fourth Proportional to 190,239.31, 285,377.84 and 70,327.68

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Solution

The fourth proportional to 190,239.31, 285,377.84 and 70,327.68 is: 105,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,239.31 : 285,377.84 = 70,327.68 : x
  2. Step 2: Convert to fraction form
    190,239.31/285,377.84 = 70,327.68/x
  3. Step 3: Cross multiply
    190,239.31x = 285,377.84 × 70,327.68
  4. Step 4: Simplify right side
    190,239.31x = 20,069,961,410.61
  5. Step 5: Solve for x
    x = 20,069,961,410.61/190,239.31
  6. Step 6: Final answer
    x = 105,498.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.