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Finding the Fourth Proportional to 190,788.92, 286,193.91 and 57,665.82

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Solution

The fourth proportional to 190,788.92, 286,193.91 and 57,665.82 is: 86,501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,788.92 : 286,193.91 = 57,665.82 : x
  2. Step 2: Convert to fraction form
    190,788.92/286,193.91 = 57,665.82/x
  3. Step 3: Cross multiply
    190,788.92x = 286,193.91 × 57,665.82
  4. Step 4: Simplify right side
    190,788.92x = 16,503,606,499.16
  5. Step 5: Solve for x
    x = 16,503,606,499.16/190,788.92
  6. Step 6: Final answer
    x = 86,501.91

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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.