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Finding the Fourth Proportional to 160,362.46, 221,297.02 and 88,742.46

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Solution

The fourth proportional to 160,362.46, 221,297.02 and 88,742.46 is: 122,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,362.46 : 221,297.02 = 88,742.46 : x
  2. Step 2: Convert to fraction form
    160,362.46/221,297.02 = 88,742.46/x
  3. Step 3: Cross multiply
    160,362.46x = 221,297.02 × 88,742.46
  4. Step 4: Simplify right side
    160,362.46x = 19,638,441,945.47
  5. Step 5: Solve for x
    x = 19,638,441,945.47/160,362.46
  6. Step 6: Final answer
    x = 122,462.84

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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.