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Finding the Fourth Proportional to 291,996.09, 402,951.51 and 164,668.95

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Solution

The fourth proportional to 291,996.09, 402,951.51 and 164,668.95 is: 227,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,996.09 : 402,951.51 = 164,668.95 : x
  2. Step 2: Convert to fraction form
    291,996.09/402,951.51 = 164,668.95/x
  3. Step 3: Cross multiply
    291,996.09x = 402,951.51 × 164,668.95
  4. Step 4: Simplify right side
    291,996.09x = 66,353,602,052.61
  5. Step 5: Solve for x
    x = 66,353,602,052.61/291,996.09
  6. Step 6: Final answer
    x = 227,241.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.