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Finding the Fourth Proportional to 416,681.37, 625,022.37 and 101,138.58

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Solution

The fourth proportional to 416,681.37, 625,022.37 and 101,138.58 is: 151,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,681.37 : 625,022.37 = 101,138.58 : x
  2. Step 2: Convert to fraction form
    416,681.37/625,022.37 = 101,138.58/x
  3. Step 3: Cross multiply
    416,681.37x = 625,022.37 × 101,138.58
  4. Step 4: Simplify right side
    416,681.37x = 63,213,874,970.03
  5. Step 5: Solve for x
    x = 63,213,874,970.03/416,681.37
  6. Step 6: Final answer
    x = 151,707.95

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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.