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Finding the Fourth Proportional to 188,450, 260,070.93 and 106,794.08

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Solution

The fourth proportional to 188,450, 260,070.93 and 106,794.08 is: 147,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,450 : 260,070.93 = 106,794.08 : x
  2. Step 2: Convert to fraction form
    188,450/260,070.93 = 106,794.08/x
  3. Step 3: Cross multiply
    188,450x = 260,070.93 × 106,794.08
  4. Step 4: Simplify right side
    188,450x = 27,774,035,704.09
  5. Step 5: Solve for x
    x = 27,774,035,704.09/188,450
  6. Step 6: Final answer
    x = 147,381.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.