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Finding the Fourth Proportional to 190,494.32, 285,788.99 and 134,443.91

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Solution

The fourth proportional to 190,494.32, 285,788.99 and 134,443.91 is: 201,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,494.32 : 285,788.99 = 134,443.91 : x
  2. Step 2: Convert to fraction form
    190,494.32/285,788.99 = 134,443.91/x
  3. Step 3: Cross multiply
    190,494.32x = 285,788.99 × 134,443.91
  4. Step 4: Simplify right side
    190,494.32x = 38,422,590,301.13
  5. Step 5: Solve for x
    x = 38,422,590,301.13/190,494.32
  6. Step 6: Final answer
    x = 201,699.41

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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.