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Finding the Fourth Proportional to 164,581.72, 246,881.78 and 46,243.82

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Solution

The fourth proportional to 164,581.72, 246,881.78 and 46,243.82 is: 69,368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,581.72 : 246,881.78 = 46,243.82 : x
  2. Step 2: Convert to fraction form
    164,581.72/246,881.78 = 46,243.82/x
  3. Step 3: Cross multiply
    164,581.72x = 246,881.78 × 46,243.82
  4. Step 4: Simplify right side
    164,581.72x = 11,416,756,595.60
  5. Step 5: Solve for x
    x = 11,416,756,595.60/164,581.72
  6. Step 6: Final answer
    x = 69,368.31

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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.