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Finding the Fourth Proportional to 167,409.28, 230,870.28 and 113,774.32

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Solution

The fourth proportional to 167,409.28, 230,870.28 and 113,774.32 is: 156,903.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,409.28 : 230,870.28 = 113,774.32 : x
  2. Step 2: Convert to fraction form
    167,409.28/230,870.28 = 113,774.32/x
  3. Step 3: Cross multiply
    167,409.28x = 230,870.28 × 113,774.32
  4. Step 4: Simplify right side
    167,409.28x = 26,267,109,115.21
  5. Step 5: Solve for x
    x = 26,267,109,115.21/167,409.28
  6. Step 6: Final answer
    x = 156,903.54

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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.