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Finding the Fourth Proportional to 188,300, 282,449.74 and 48,058.62

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Solution

The fourth proportional to 188,300, 282,449.74 and 48,058.62 is: 72,087.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,300 : 282,449.74 = 48,058.62 : x
  2. Step 2: Convert to fraction form
    188,300/282,449.74 = 48,058.62/x
  3. Step 3: Cross multiply
    188,300x = 282,449.74 × 48,058.62
  4. Step 4: Simplify right side
    188,300x = 13,574,144,723.76
  5. Step 5: Solve for x
    x = 13,574,144,723.76/188,300
  6. Step 6: Final answer
    x = 72,087.86

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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.