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Finding the Fourth Proportional to 193,357.90, 289,967.50 and 66,964.20

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Solution

The fourth proportional to 193,357.90, 289,967.50 and 66,964.20 is: 100,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,357.90 : 289,967.50 = 66,964.20 : x
  2. Step 2: Convert to fraction form
    193,357.90/289,967.50 = 66,964.20/x
  3. Step 3: Cross multiply
    193,357.90x = 289,967.50 × 66,964.20
  4. Step 4: Simplify right side
    193,357.90x = 19,417,441,663.50
  5. Step 5: Solve for x
    x = 19,417,441,663.50/193,357.90
  6. Step 6: Final answer
    x = 100,422.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.