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Finding the Fourth Proportional to 120,962, 166,927.56 and 67,970

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Solution

The fourth proportional to 120,962, 166,927.56 and 67,970 is: 93,798.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,962 : 166,927.56 = 67,970 : x
  2. Step 2: Convert to fraction form
    120,962/166,927.56 = 67,970/x
  3. Step 3: Cross multiply
    120,962x = 166,927.56 × 67,970
  4. Step 4: Simplify right side
    120,962x = 11,346,066,253.20
  5. Step 5: Solve for x
    x = 11,346,066,253.20/120,962
  6. Step 6: Final answer
    x = 93,798.60

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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.