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Finding the Fourth Proportional to 208,087.47, 312,054.66 and 74,932.02

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Solution

The fourth proportional to 208,087.47, 312,054.66 and 74,932.02 is: 112,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,087.47 : 312,054.66 = 74,932.02 : x
  2. Step 2: Convert to fraction form
    208,087.47/312,054.66 = 74,932.02/x
  3. Step 3: Cross multiply
    208,087.47x = 312,054.66 × 74,932.02
  4. Step 4: Simplify right side
    208,087.47x = 23,382,886,024.21
  5. Step 5: Solve for x
    x = 23,382,886,024.21/208,087.47
  6. Step 6: Final answer
    x = 112,370.47

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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.