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Finding the Fourth Proportional to 188,295.49, 282,443 and 48,054.12

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Solution

The fourth proportional to 188,295.49, 282,443 and 48,054.12 is: 72,081.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,295.49 : 282,443 = 48,054.12 : x
  2. Step 2: Convert to fraction form
    188,295.49/282,443 = 48,054.12/x
  3. Step 3: Cross multiply
    188,295.49x = 282,443 × 48,054.12
  4. Step 4: Simplify right side
    188,295.49x = 13,572,549,815.16
  5. Step 5: Solve for x
    x = 13,572,549,815.16/188,295.49
  6. Step 6: Final answer
    x = 72,081.12

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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.