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Finding the Fourth Proportional to 164,587.82, 227,242.06 and 103,360.12

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Solution

The fourth proportional to 164,587.82, 227,242.06 and 103,360.12 is: 142,706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,587.82 : 227,242.06 = 103,360.12 : x
  2. Step 2: Convert to fraction form
    164,587.82/227,242.06 = 103,360.12/x
  3. Step 3: Cross multiply
    164,587.82x = 227,242.06 × 103,360.12
  4. Step 4: Simplify right side
    164,587.82x = 23,487,765,764.14
  5. Step 5: Solve for x
    x = 23,487,765,764.14/164,587.82
  6. Step 6: Final answer
    x = 142,706.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.