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Finding the Fourth Proportional to 110,611.20, 165,970.80 and 51,416.40

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Solution

The fourth proportional to 110,611.20, 165,970.80 and 51,416.40 is: 77,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,611.20 : 165,970.80 = 51,416.40 : x
  2. Step 2: Convert to fraction form
    110,611.20/165,970.80 = 51,416.40/x
  3. Step 3: Cross multiply
    110,611.20x = 165,970.80 × 51,416.40
  4. Step 4: Simplify right side
    110,611.20x = 8,533,621,041.12
  5. Step 5: Solve for x
    x = 8,533,621,041.12/110,611.20
  6. Step 6: Final answer
    x = 77,149.70

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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.