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Finding the Fourth Proportional to 188,148.80, 282,246.24 and 82,994.24

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Solution

The fourth proportional to 188,148.80, 282,246.24 and 82,994.24 is: 124,501.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,148.80 : 282,246.24 = 82,994.24 : x
  2. Step 2: Convert to fraction form
    188,148.80/282,246.24 = 82,994.24/x
  3. Step 3: Cross multiply
    188,148.80x = 282,246.24 × 82,994.24
  4. Step 4: Simplify right side
    188,148.80x = 23,424,812,181.66
  5. Step 5: Solve for x
    x = 23,424,812,181.66/188,148.80
  6. Step 6: Final answer
    x = 124,501.52

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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.