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Finding the Fourth Proportional to 229,090.82, 315,024.26 and 198,823.57

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Solution

The fourth proportional to 229,090.82, 315,024.26 and 198,823.57 is: 273,403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,090.82 : 315,024.26 = 198,823.57 : x
  2. Step 2: Convert to fraction form
    229,090.82/315,024.26 = 198,823.57/x
  3. Step 3: Cross multiply
    229,090.82x = 315,024.26 × 198,823.57
  4. Step 4: Simplify right side
    229,090.82x = 62,634,246,228.13
  5. Step 5: Solve for x
    x = 62,634,246,228.13/229,090.82
  6. Step 6: Final answer
    x = 273,403.57

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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.