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Finding the Fourth Proportional to 188,597.48, 282,906.30 and 48,357.32

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Solution

The fourth proportional to 188,597.48, 282,906.30 and 48,357.32 is: 72,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,597.48 : 282,906.30 = 48,357.32 : x
  2. Step 2: Convert to fraction form
    188,597.48/282,906.30 = 48,357.32/x
  3. Step 3: Cross multiply
    188,597.48x = 282,906.30 × 48,357.32
  4. Step 4: Simplify right side
    188,597.48x = 13,680,590,479.12
  5. Step 5: Solve for x
    x = 13,680,590,479.12/188,597.48
  6. Step 6: Final answer
    x = 72,538.56

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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.