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Finding the Fourth Proportional to 294,750.72, 406,755.90 and 160,614.72

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Solution

The fourth proportional to 294,750.72, 406,755.90 and 160,614.72 is: 221,648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,750.72 : 406,755.90 = 160,614.72 : x
  2. Step 2: Convert to fraction form
    294,750.72/406,755.90 = 160,614.72/x
  3. Step 3: Cross multiply
    294,750.72x = 406,755.90 × 160,614.72
  4. Step 4: Simplify right side
    294,750.72x = 65,330,984,986.85
  5. Step 5: Solve for x
    x = 65,330,984,986.85/294,750.72
  6. Step 6: Final answer
    x = 221,648.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.