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Finding the Fourth Proportional to 294,158.25, 405,944.87 and 160,022.25

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Solution

The fourth proportional to 294,158.25, 405,944.87 and 160,022.25 is: 220,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,158.25 : 405,944.87 = 160,022.25 : x
  2. Step 2: Convert to fraction form
    294,158.25/405,944.87 = 160,022.25/x
  3. Step 3: Cross multiply
    294,158.25x = 405,944.87 × 160,022.25
  4. Step 4: Simplify right side
    294,158.25x = 64,960,210,673.25
  5. Step 5: Solve for x
    x = 64,960,210,673.25/294,158.25
  6. Step 6: Final answer
    x = 220,834.23

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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.