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Finding the Fourth Proportional to 164,358.51, 246,546.47 and 52,050.59

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Solution

The fourth proportional to 164,358.51, 246,546.47 and 52,050.59 is: 78,078.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,358.51 : 246,546.47 = 52,050.59 : x
  2. Step 2: Convert to fraction form
    164,358.51/246,546.47 = 52,050.59/x
  3. Step 3: Cross multiply
    164,358.51x = 246,546.47 × 52,050.59
  4. Step 4: Simplify right side
    164,358.51x = 12,832,888,965.66
  5. Step 5: Solve for x
    x = 12,832,888,965.66/164,358.51
  6. Step 6: Final answer
    x = 78,078.64

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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.