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Finding the Fourth Proportional to 160,460.53, 221,438.91 and 87,866.48

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Solution

The fourth proportional to 160,460.53, 221,438.91 and 87,866.48 is: 121,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,460.53 : 221,438.91 = 87,866.48 : x
  2. Step 2: Convert to fraction form
    160,460.53/221,438.91 = 87,866.48/x
  3. Step 3: Cross multiply
    160,460.53x = 221,438.91 × 87,866.48
  4. Step 4: Simplify right side
    160,460.53x = 19,457,057,556.74
  5. Step 5: Solve for x
    x = 19,457,057,556.74/160,460.53
  6. Step 6: Final answer
    x = 121,257.59

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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.