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Finding the Fourth Proportional to 295,106, 407,246.28 and 160,970

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Solution

The fourth proportional to 295,106, 407,246.28 and 160,970 is: 222,138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,106 : 407,246.28 = 160,970 : x
  2. Step 2: Convert to fraction form
    295,106/407,246.28 = 160,970/x
  3. Step 3: Cross multiply
    295,106x = 407,246.28 × 160,970
  4. Step 4: Simplify right side
    295,106x = 65,554,433,691.60
  5. Step 5: Solve for x
    x = 65,554,433,691.60/295,106
  6. Step 6: Final answer
    x = 222,138.60

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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.