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Finding the Fourth Proportional to 190,046.92, 284,986.14 and 101,283.88

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Solution

The fourth proportional to 190,046.92, 284,986.14 and 101,283.88 is: 151,880.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,046.92 : 284,986.14 = 101,283.88 : x
  2. Step 2: Convert to fraction form
    190,046.92/284,986.14 = 101,283.88/x
  3. Step 3: Cross multiply
    190,046.92x = 284,986.14 × 101,283.88
  4. Step 4: Simplify right side
    190,046.92x = 28,864,502,005.42
  5. Step 5: Solve for x
    x = 28,864,502,005.42/190,046.92
  6. Step 6: Final answer
    x = 151,880.93

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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.