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Finding the Fourth Proportional to 164,592.74, 227,235.87 and 104,215.14

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Solution

The fourth proportional to 164,592.74, 227,235.87 and 104,215.14 is: 143,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,592.74 : 227,235.87 = 104,215.14 : x
  2. Step 2: Convert to fraction form
    164,592.74/227,235.87 = 104,215.14/x
  3. Step 3: Cross multiply
    164,592.74x = 227,235.87 × 104,215.14
  4. Step 4: Simplify right side
    164,592.74x = 23,681,418,005.07
  5. Step 5: Solve for x
    x = 23,681,418,005.07/164,592.74
  6. Step 6: Final answer
    x = 143,878.87

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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.