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Finding the Fourth Proportional to 192,071.18, 288,106.76 and 51,829.58

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Solution

The fourth proportional to 192,071.18, 288,106.76 and 51,829.58 is: 77,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,071.18 : 288,106.76 = 51,829.58 : x
  2. Step 2: Convert to fraction form
    192,071.18/288,106.76 = 51,829.58/x
  3. Step 3: Cross multiply
    192,071.18x = 288,106.76 × 51,829.58
  4. Step 4: Simplify right side
    192,071.18x = 14,932,451,055.00
  5. Step 5: Solve for x
    x = 14,932,451,055.00/192,071.18
  6. Step 6: Final answer
    x = 77,744.36

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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.