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Finding the Fourth Proportional to 190,543.98, 285,827.19 and 64,173.66

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Solution

The fourth proportional to 190,543.98, 285,827.19 and 64,173.66 is: 96,264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,543.98 : 285,827.19 = 64,173.66 : x
  2. Step 2: Convert to fraction form
    190,543.98/285,827.19 = 64,173.66/x
  3. Step 3: Cross multiply
    190,543.98x = 285,827.19 × 64,173.66
  4. Step 4: Simplify right side
    190,543.98x = 18,342,576,909.82
  5. Step 5: Solve for x
    x = 18,342,576,909.82/190,543.98
  6. Step 6: Final answer
    x = 96,264.27

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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.