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Finding the Fourth Proportional to 230,014.54, 317,092.08 and 178,937.56

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Solution

The fourth proportional to 230,014.54, 317,092.08 and 178,937.56 is: 246,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,014.54 : 317,092.08 = 178,937.56 : x
  2. Step 2: Convert to fraction form
    230,014.54/317,092.08 = 178,937.56/x
  3. Step 3: Cross multiply
    230,014.54x = 317,092.08 × 178,937.56
  4. Step 4: Simplify right side
    230,014.54x = 56,739,683,090.52
  5. Step 5: Solve for x
    x = 56,739,683,090.52/230,014.54
  6. Step 6: Final answer
    x = 246,678.68

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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.