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Finding the Fourth Proportional to 232,513.84, 320,879.64 and 137,024.56

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Solution

The fourth proportional to 232,513.84, 320,879.64 and 137,024.56 is: 189,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,513.84 : 320,879.64 = 137,024.56 : x
  2. Step 2: Convert to fraction form
    232,513.84/320,879.64 = 137,024.56/x
  3. Step 3: Cross multiply
    232,513.84x = 320,879.64 × 137,024.56
  4. Step 4: Simplify right side
    232,513.84x = 43,968,391,483.96
  5. Step 5: Solve for x
    x = 43,968,391,483.96/232,513.84
  6. Step 6: Final answer
    x = 189,100.10

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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.