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Finding the Fourth Proportional to 205,018.96, 282,945.64 and 128,550.16

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Solution

The fourth proportional to 205,018.96, 282,945.64 and 128,550.16 is: 177,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,018.96 : 282,945.64 = 128,550.16 : x
  2. Step 2: Convert to fraction form
    205,018.96/282,945.64 = 128,550.16/x
  3. Step 3: Cross multiply
    205,018.96x = 282,945.64 × 128,550.16
  4. Step 4: Simplify right side
    205,018.96x = 36,372,707,293.30
  5. Step 5: Solve for x
    x = 36,372,707,293.30/205,018.96
  6. Step 6: Final answer
    x = 177,411.43

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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.