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Finding the Fourth Proportional to 295,074, 407,206.98 and 160,938

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Solution

The fourth proportional to 295,074, 407,206.98 and 160,938 is: 222,097.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,074 : 407,206.98 = 160,938 : x
  2. Step 2: Convert to fraction form
    295,074/407,206.98 = 160,938/x
  3. Step 3: Cross multiply
    295,074x = 407,206.98 × 160,938
  4. Step 4: Simplify right side
    295,074x = 65,535,076,947.24
  5. Step 5: Solve for x
    x = 65,535,076,947.24/295,074
  6. Step 6: Final answer
    x = 222,097.09

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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.