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Finding the Fourth Proportional to 295,107, 407,247.66 and 160,971

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Solution

The fourth proportional to 295,107, 407,247.66 and 160,971 is: 222,139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,107 : 407,247.66 = 160,971 : x
  2. Step 2: Convert to fraction form
    295,107/407,247.66 = 160,971/x
  3. Step 3: Cross multiply
    295,107x = 407,247.66 × 160,971
  4. Step 4: Simplify right side
    295,107x = 65,555,063,077.86
  5. Step 5: Solve for x
    x = 65,555,063,077.86/295,107
  6. Step 6: Final answer
    x = 222,139.98

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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.