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Finding the Fourth Proportional to 164,398.29, 246,578.13 and 46,079.16

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Solution

The fourth proportional to 164,398.29, 246,578.13 and 46,079.16 is: 69,113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,398.29 : 246,578.13 = 46,079.16 : x
  2. Step 2: Convert to fraction form
    164,398.29/246,578.13 = 46,079.16/x
  3. Step 3: Cross multiply
    164,398.29x = 246,578.13 × 46,079.16
  4. Step 4: Simplify right side
    164,398.29x = 11,362,113,104.77
  5. Step 5: Solve for x
    x = 11,362,113,104.77/164,398.29
  6. Step 6: Final answer
    x = 69,113.33

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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.