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Finding the Fourth Proportional to 190,731.92, 286,108.50 and 57,608.62

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Solution

The fourth proportional to 190,731.92, 286,108.50 and 57,608.62 is: 86,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,731.92 : 286,108.50 = 57,608.62 : x
  2. Step 2: Convert to fraction form
    190,731.92/286,108.50 = 57,608.62/x
  3. Step 3: Cross multiply
    190,731.92x = 286,108.50 × 57,608.62
  4. Step 4: Simplify right side
    190,731.92x = 16,482,315,356.03
  5. Step 5: Solve for x
    x = 16,482,315,356.03/190,731.92
  6. Step 6: Final answer
    x = 86,416.14

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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.