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Finding the Fourth Proportional to 111,409.34, 153,764.55 and 66,112.30

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Solution

The fourth proportional to 111,409.34, 153,764.55 and 66,112.30 is: 91,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,409.34 : 153,764.55 = 66,112.30 : x
  2. Step 2: Convert to fraction form
    111,409.34/153,764.55 = 66,112.30/x
  3. Step 3: Cross multiply
    111,409.34x = 153,764.55 × 66,112.30
  4. Step 4: Simplify right side
    111,409.34x = 10,165,727,728.40
  5. Step 5: Solve for x
    x = 10,165,727,728.40/111,409.34
  6. Step 6: Final answer
    x = 91,246.64

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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.