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Finding the Fourth Proportional to 188,301, 282,451.24 and 48,059.64

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Solution

The fourth proportional to 188,301, 282,451.24 and 48,059.64 is: 72,089.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,301 : 282,451.24 = 48,059.64 : x
  2. Step 2: Convert to fraction form
    188,301/282,451.24 = 48,059.64/x
  3. Step 3: Cross multiply
    188,301x = 282,451.24 × 48,059.64
  4. Step 4: Simplify right side
    188,301x = 13,574,504,911.95
  5. Step 5: Solve for x
    x = 13,574,504,911.95/188,301
  6. Step 6: Final answer
    x = 72,089.39

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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.