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Finding the Fourth Proportional to 230,242.30, 317,743.17 and 133,449.33

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Solution

The fourth proportional to 230,242.30, 317,743.17 and 133,449.33 is: 184,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,242.30 : 317,743.17 = 133,449.33 : x
  2. Step 2: Convert to fraction form
    230,242.30/317,743.17 = 133,449.33/x
  3. Step 3: Cross multiply
    230,242.30x = 317,743.17 × 133,449.33
  4. Step 4: Simplify right side
    230,242.30x = 42,402,612,803.03
  5. Step 5: Solve for x
    x = 42,402,612,803.03/230,242.30
  6. Step 6: Final answer
    x = 184,165.17

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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.