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Finding the Fourth Proportional to 109,106.20, 163,572.90 and 59,858.20

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Solution

The fourth proportional to 109,106.20, 163,572.90 and 59,858.20 is: 89,739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,106.20 : 163,572.90 = 59,858.20 : x
  2. Step 2: Convert to fraction form
    109,106.20/163,572.90 = 59,858.20/x
  3. Step 3: Cross multiply
    109,106.20x = 163,572.90 × 59,858.20
  4. Step 4: Simplify right side
    109,106.20x = 9,791,179,362.78
  5. Step 5: Solve for x
    x = 9,791,179,362.78/109,106.20
  6. Step 6: Final answer
    x = 89,739.90

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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.