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Finding the Fourth Proportional to 160,750.34, 221,827.26 and 89,129.66

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Solution

The fourth proportional to 160,750.34, 221,827.26 and 89,129.66 is: 122,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,750.34 : 221,827.26 = 89,129.66 : x
  2. Step 2: Convert to fraction form
    160,750.34/221,827.26 = 89,129.66/x
  3. Step 3: Cross multiply
    160,750.34x = 221,827.26 × 89,129.66
  4. Step 4: Simplify right side
    160,750.34x = 19,771,388,262.53
  5. Step 5: Solve for x
    x = 19,771,388,262.53/160,750.34
  6. Step 6: Final answer
    x = 122,994.38

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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.