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Finding the Fourth Proportional to 199,774.86, 299,661.75 and 164,572.98

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Solution

The fourth proportional to 199,774.86, 299,661.75 and 164,572.98 is: 246,859.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,774.86 : 299,661.75 = 164,572.98 : x
  2. Step 2: Convert to fraction form
    199,774.86/299,661.75 = 164,572.98/x
  3. Step 3: Cross multiply
    199,774.86x = 299,661.75 × 164,572.98
  4. Step 4: Simplify right side
    199,774.86x = 49,316,227,189.52
  5. Step 5: Solve for x
    x = 49,316,227,189.52/199,774.86
  6. Step 6: Final answer
    x = 246,859.03

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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.