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Finding the Fourth Proportional to 164,112.82, 246,070.81 and 75,255.01

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Solution

The fourth proportional to 164,112.82, 246,070.81 and 75,255.01 is: 112,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,112.82 : 246,070.81 = 75,255.01 : x
  2. Step 2: Convert to fraction form
    164,112.82/246,070.81 = 75,255.01/x
  3. Step 3: Cross multiply
    164,112.82x = 246,070.81 × 75,255.01
  4. Step 4: Simplify right side
    164,112.82x = 18,518,060,746.15
  5. Step 5: Solve for x
    x = 18,518,060,746.15/164,112.82
  6. Step 6: Final answer
    x = 112,837.38

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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.