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Finding the Fourth Proportional to 164,415.80, 246,623.70 and 46,107.20

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Solution

The fourth proportional to 164,415.80, 246,623.70 and 46,107.20 is: 69,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,415.80 : 246,623.70 = 46,107.20 : x
  2. Step 2: Convert to fraction form
    164,415.80/246,623.70 = 46,107.20/x
  3. Step 3: Cross multiply
    164,415.80x = 246,623.70 × 46,107.20
  4. Step 4: Simplify right side
    164,415.80x = 11,371,128,260.64
  5. Step 5: Solve for x
    x = 11,371,128,260.64/164,415.80
  6. Step 6: Final answer
    x = 69,160.80

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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.