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Finding the Fourth Proportional to 113,735.17, 170,464.40 and 80,464.83

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Solution

The fourth proportional to 113,735.17, 170,464.40 and 80,464.83 is: 120,599.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,735.17 : 170,464.40 = 80,464.83 : x
  2. Step 2: Convert to fraction form
    113,735.17/170,464.40 = 80,464.83/x
  3. Step 3: Cross multiply
    113,735.17x = 170,464.40 × 80,464.83
  4. Step 4: Simplify right side
    113,735.17x = 13,716,388,227.23
  5. Step 5: Solve for x
    x = 13,716,388,227.23/113,735.17
  6. Step 6: Final answer
    x = 120,599.35

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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.