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Finding the Fourth Proportional to 199,984, 275,983.68 and 110,565.76

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Solution

The fourth proportional to 199,984, 275,983.68 and 110,565.76 is: 152,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,984 : 275,983.68 = 110,565.76 : x
  2. Step 2: Convert to fraction form
    199,984/275,983.68 = 110,565.76/x
  3. Step 3: Cross multiply
    199,984x = 275,983.68 × 110,565.76
  4. Step 4: Simplify right side
    199,984x = 30,514,345,326.80
  5. Step 5: Solve for x
    x = 30,514,345,326.80/199,984
  6. Step 6: Final answer
    x = 152,583.93

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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.