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Finding the Fourth Proportional to 256,033.80, 353,323.62 and 141,313.32

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Solution

The fourth proportional to 256,033.80, 353,323.62 and 141,313.32 is: 195,010.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,033.80 : 353,323.62 = 141,313.32 : x
  2. Step 2: Convert to fraction form
    256,033.80/353,323.62 = 141,313.32/x
  3. Step 3: Cross multiply
    256,033.80x = 353,323.62 × 141,313.32
  4. Step 4: Simplify right side
    256,033.80x = 49,929,333,776.62
  5. Step 5: Solve for x
    x = 49,929,333,776.62/256,033.80
  6. Step 6: Final answer
    x = 195,010.71

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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.