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Finding the Fourth Proportional to 188,297, 282,445.24 and 48,055.62

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Solution

The fourth proportional to 188,297, 282,445.24 and 48,055.62 is: 72,083.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,297 : 282,445.24 = 48,055.62 : x
  2. Step 2: Convert to fraction form
    188,297/282,445.24 = 48,055.62/x
  3. Step 3: Cross multiply
    188,297x = 282,445.24 × 48,055.62
  4. Step 4: Simplify right side
    188,297x = 13,573,081,124.25
  5. Step 5: Solve for x
    x = 13,573,081,124.25/188,297
  6. Step 6: Final answer
    x = 72,083.36

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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.