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Finding the Fourth Proportional to 164,411.46, 226,888.14 and 91,814

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Solution

The fourth proportional to 164,411.46, 226,888.14 and 91,814 is: 126,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,411.46 : 226,888.14 = 91,814 : x
  2. Step 2: Convert to fraction form
    164,411.46/226,888.14 = 91,814/x
  3. Step 3: Cross multiply
    164,411.46x = 226,888.14 × 91,814
  4. Step 4: Simplify right side
    164,411.46x = 20,831,507,685.96
  5. Step 5: Solve for x
    x = 20,831,507,685.96/164,411.46
  6. Step 6: Final answer
    x = 126,703.50

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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.