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Finding the Fourth Proportional to 295,022.76, 407,130.84 and 160,886.76

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Solution

The fourth proportional to 295,022.76, 407,130.84 and 160,886.76 is: 222,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,022.76 : 407,130.84 = 160,886.76 : x
  2. Step 2: Convert to fraction form
    295,022.76/407,130.84 = 160,886.76/x
  3. Step 3: Cross multiply
    295,022.76x = 407,130.84 × 160,886.76
  4. Step 4: Simplify right side
    295,022.76x = 65,501,961,743.68
  5. Step 5: Solve for x
    x = 65,501,961,743.68/295,022.76
  6. Step 6: Final answer
    x = 222,023.42

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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.