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Finding the Fourth Proportional to 106,464.90, 159,697.35 and 97,863.30

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Solution

The fourth proportional to 106,464.90, 159,697.35 and 97,863.30 is: 146,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,464.90 : 159,697.35 = 97,863.30 : x
  2. Step 2: Convert to fraction form
    106,464.90/159,697.35 = 97,863.30/x
  3. Step 3: Cross multiply
    106,464.90x = 159,697.35 × 97,863.30
  4. Step 4: Simplify right side
    106,464.90x = 15,628,509,672.26
  5. Step 5: Solve for x
    x = 15,628,509,672.26/106,464.90
  6. Step 6: Final answer
    x = 146,794.95

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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.