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Finding the Fourth Proportional to 107,022.70, 160,534.05 and 54,534.70

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Solution

The fourth proportional to 107,022.70, 160,534.05 and 54,534.70 is: 81,802.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,022.70 : 160,534.05 = 54,534.70 : x
  2. Step 2: Convert to fraction form
    107,022.70/160,534.05 = 54,534.70/x
  3. Step 3: Cross multiply
    107,022.70x = 160,534.05 × 54,534.70
  4. Step 4: Simplify right side
    107,022.70x = 8,754,676,256.54
  5. Step 5: Solve for x
    x = 8,754,676,256.54/107,022.70
  6. Step 6: Final answer
    x = 81,802.05

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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.