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Finding the Fourth Proportional to 109,058.80, 163,588.20 and 82,814.80

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Solution

The fourth proportional to 109,058.80, 163,588.20 and 82,814.80 is: 124,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,058.80 : 163,588.20 = 82,814.80 : x
  2. Step 2: Convert to fraction form
    109,058.80/163,588.20 = 82,814.80/x
  3. Step 3: Cross multiply
    109,058.80x = 163,588.20 × 82,814.80
  4. Step 4: Simplify right side
    109,058.80x = 13,547,524,065.36
  5. Step 5: Solve for x
    x = 13,547,524,065.36/109,058.80
  6. Step 6: Final answer
    x = 124,222.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.