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Finding the Fourth Proportional to 119,274, 164,598.44 and 66,282

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Solution

The fourth proportional to 119,274, 164,598.44 and 66,282 is: 91,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,274 : 164,598.44 = 66,282 : x
  2. Step 2: Convert to fraction form
    119,274/164,598.44 = 66,282/x
  3. Step 3: Cross multiply
    119,274x = 164,598.44 × 66,282
  4. Step 4: Simplify right side
    119,274x = 10,909,913,800.08
  5. Step 5: Solve for x
    x = 10,909,913,800.08/119,274
  6. Step 6: Final answer
    x = 91,469.34

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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.