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Finding the Fourth Proportional to 107,022.70, 160,534.05 and 100,461.70

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Solution

The fourth proportional to 107,022.70, 160,534.05 and 100,461.70 is: 150,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,022.70 : 160,534.05 = 100,461.70 : x
  2. Step 2: Convert to fraction form
    107,022.70/160,534.05 = 100,461.70/x
  3. Step 3: Cross multiply
    107,022.70x = 160,534.05 × 100,461.70
  4. Step 4: Simplify right side
    107,022.70x = 16,127,523,570.89
  5. Step 5: Solve for x
    x = 16,127,523,570.89/107,022.70
  6. Step 6: Final answer
    x = 150,692.55

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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.