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Finding the Fourth Proportional to 190,045.92, 284,984.64 and 101,282.88

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Solution

The fourth proportional to 190,045.92, 284,984.64 and 101,282.88 is: 151,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,045.92 : 284,984.64 = 101,282.88 : x
  2. Step 2: Convert to fraction form
    190,045.92/284,984.64 = 101,282.88/x
  3. Step 3: Cross multiply
    190,045.92x = 284,984.64 × 101,282.88
  4. Step 4: Simplify right side
    190,045.92x = 28,864,065,094.96
  5. Step 5: Solve for x
    x = 28,864,065,094.96/190,045.92
  6. Step 6: Final answer
    x = 151,879.43

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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.