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Finding the Fourth Proportional to 164,657.64, 227,132.79 and 99,201

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Solution

The fourth proportional to 164,657.64, 227,132.79 and 99,201 is: 136,840.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,657.64 : 227,132.79 = 99,201 : x
  2. Step 2: Convert to fraction form
    164,657.64/227,132.79 = 99,201/x
  3. Step 3: Cross multiply
    164,657.64x = 227,132.79 × 99,201
  4. Step 4: Simplify right side
    164,657.64x = 22,531,799,900.79
  5. Step 5: Solve for x
    x = 22,531,799,900.79/164,657.64
  6. Step 6: Final answer
    x = 136,840.29

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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.