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Finding the Fourth Proportional to 258,674.27, 356,966.84 and 145,496.75

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Solution

The fourth proportional to 258,674.27, 356,966.84 and 145,496.75 is: 200,783.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,674.27 : 356,966.84 = 145,496.75 : x
  2. Step 2: Convert to fraction form
    258,674.27/356,966.84 = 145,496.75/x
  3. Step 3: Cross multiply
    258,674.27x = 356,966.84 × 145,496.75
  4. Step 4: Simplify right side
    258,674.27x = 51,937,514,350.29
  5. Step 5: Solve for x
    x = 51,937,514,350.29/258,674.27
  6. Step 6: Final answer
    x = 200,783.46

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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.