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Finding the Fourth Proportional to 230,244.30, 317,745.94 and 133,451.32

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Solution

The fourth proportional to 230,244.30, 317,745.94 and 133,451.32 is: 184,167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,244.30 : 317,745.94 = 133,451.32 : x
  2. Step 2: Convert to fraction form
    230,244.30/317,745.94 = 133,451.32/x
  3. Step 3: Cross multiply
    230,244.30x = 317,745.94 × 133,451.32
  4. Step 4: Simplify right side
    230,244.30x = 42,403,615,117.64
  5. Step 5: Solve for x
    x = 42,403,615,117.64/230,244.30
  6. Step 6: Final answer
    x = 184,167.93

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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.