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Finding the Fourth Proportional to 110,405.20, 165,656.40 and 51,210.40

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Solution

The fourth proportional to 110,405.20, 165,656.40 and 51,210.40 is: 76,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,405.20 : 165,656.40 = 51,210.40 : x
  2. Step 2: Convert to fraction form
    110,405.20/165,656.40 = 51,210.40/x
  3. Step 3: Cross multiply
    110,405.20x = 165,656.40 × 51,210.40
  4. Step 4: Simplify right side
    110,405.20x = 8,483,330,506.56
  5. Step 5: Solve for x
    x = 8,483,330,506.56/110,405.20
  6. Step 6: Final answer
    x = 76,838.14

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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.