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Finding the Fourth Proportional to 161,053.98, 241,649.22 and 86,154.50

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Solution

The fourth proportional to 161,053.98, 241,649.22 and 86,154.50 is: 129,268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,053.98 : 241,649.22 = 86,154.50 : x
  2. Step 2: Convert to fraction form
    161,053.98/241,649.22 = 86,154.50/x
  3. Step 3: Cross multiply
    161,053.98x = 241,649.22 × 86,154.50
  4. Step 4: Simplify right side
    161,053.98x = 20,819,167,724.49
  5. Step 5: Solve for x
    x = 20,819,167,724.49/161,053.98
  6. Step 6: Final answer
    x = 129,268.26

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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.