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Finding the Fourth Proportional to 188,297.49, 282,446 and 48,056.12

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Solution

The fourth proportional to 188,297.49, 282,446 and 48,056.12 is: 72,084.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,297.49 : 282,446 = 48,056.12 : x
  2. Step 2: Convert to fraction form
    188,297.49/282,446 = 48,056.12/x
  3. Step 3: Cross multiply
    188,297.49x = 282,446 × 48,056.12
  4. Step 4: Simplify right side
    188,297.49x = 13,573,258,869.52
  5. Step 5: Solve for x
    x = 13,573,258,869.52/188,297.49
  6. Step 6: Final answer
    x = 72,084.12

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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.