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Finding the Fourth Proportional to 188,309.48, 282,473.94 and 48,069.32

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Solution

The fourth proportional to 188,309.48, 282,473.94 and 48,069.32 is: 72,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,309.48 : 282,473.94 = 48,069.32 : x
  2. Step 2: Convert to fraction form
    188,309.48/282,473.94 = 48,069.32/x
  3. Step 3: Cross multiply
    188,309.48x = 282,473.94 × 48,069.32
  4. Step 4: Simplify right side
    188,309.48x = 13,578,330,213.52
  5. Step 5: Solve for x
    x = 13,578,330,213.52/188,309.48
  6. Step 6: Final answer
    x = 72,106.46

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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.