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Finding the Fourth Proportional to 230,092.40, 317,465.52 and 134,622.56

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Solution

The fourth proportional to 230,092.40, 317,465.52 and 134,622.56 is: 185,742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,092.40 : 317,465.52 = 134,622.56 : x
  2. Step 2: Convert to fraction form
    230,092.40/317,465.52 = 134,622.56/x
  3. Step 3: Cross multiply
    230,092.40x = 317,465.52 × 134,622.56
  4. Step 4: Simplify right side
    230,092.40x = 42,738,021,014.13
  5. Step 5: Solve for x
    x = 42,738,021,014.13/230,092.40
  6. Step 6: Final answer
    x = 185,742.86

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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.