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Finding the Fourth Proportional to 164,844.84, 227,388.42 and 105,228.84

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Solution

The fourth proportional to 164,844.84, 227,388.42 and 105,228.84 is: 145,153.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,844.84 : 227,388.42 = 105,228.84 : x
  2. Step 2: Convert to fraction form
    164,844.84/227,388.42 = 105,228.84/x
  3. Step 3: Cross multiply
    164,844.84x = 227,388.42 × 105,228.84
  4. Step 4: Simplify right side
    164,844.84x = 23,927,819,666.03
  5. Step 5: Solve for x
    x = 23,927,819,666.03/164,844.84
  6. Step 6: Final answer
    x = 145,153.59

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1.5x scale

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.