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Finding the Fourth Proportional to 164,538.54, 246,788.51 and 46,219.95

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Solution

The fourth proportional to 164,538.54, 246,788.51 and 46,219.95 is: 69,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,538.54 : 246,788.51 = 46,219.95 : x
  2. Step 2: Convert to fraction form
    164,538.54/246,788.51 = 46,219.95/x
  3. Step 3: Cross multiply
    164,538.54x = 246,788.51 × 46,219.95
  4. Step 4: Simplify right side
    164,538.54x = 11,406,552,361.67
  5. Step 5: Solve for x
    x = 11,406,552,361.67/164,538.54
  6. Step 6: Final answer
    x = 69,324.50

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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.