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Finding the Fourth Proportional to 208,062.66, 312,020.18 and 74,907.16

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Solution

The fourth proportional to 208,062.66, 312,020.18 and 74,907.16 is: 112,334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,062.66 : 312,020.18 = 74,907.16 : x
  2. Step 2: Convert to fraction form
    208,062.66/312,020.18 = 74,907.16/x
  3. Step 3: Cross multiply
    208,062.66x = 312,020.18 × 74,907.16
  4. Step 4: Simplify right side
    208,062.66x = 23,372,545,546.49
  5. Step 5: Solve for x
    x = 23,372,545,546.49/208,062.66
  6. Step 6: Final answer
    x = 112,334.17

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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.