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Finding the Fourth Proportional to 214,053.88, 295,592.91 and 160,245.49

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Solution

The fourth proportional to 214,053.88, 295,592.91 and 160,245.49 is: 221,287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,053.88 : 295,592.91 = 160,245.49 : x
  2. Step 2: Convert to fraction form
    214,053.88/295,592.91 = 160,245.49/x
  3. Step 3: Cross multiply
    214,053.88x = 295,592.91 × 160,245.49
  4. Step 4: Simplify right side
    214,053.88x = 47,367,430,703.48
  5. Step 5: Solve for x
    x = 47,367,430,703.48/214,053.88
  6. Step 6: Final answer
    x = 221,287.42

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1.5x scale

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.