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Finding the Fourth Proportional to 164,442.84, 226,931.40 and 88,991.40

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Solution

The fourth proportional to 164,442.84, 226,931.40 and 88,991.40 is: 122,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,442.84 : 226,931.40 = 88,991.40 : x
  2. Step 2: Convert to fraction form
    164,442.84/226,931.40 = 88,991.40/x
  3. Step 3: Cross multiply
    164,442.84x = 226,931.40 × 88,991.40
  4. Step 4: Simplify right side
    164,442.84x = 20,194,942,989.96
  5. Step 5: Solve for x
    x = 20,194,942,989.96/164,442.84
  6. Step 6: Final answer
    x = 122,808.28

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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.