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Finding the Fourth Proportional to 164,914.71, 227,582.74 and 89,463.21

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Solution

The fourth proportional to 164,914.71, 227,582.74 and 89,463.21 is: 123,459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,914.71 : 227,582.74 = 89,463.21 : x
  2. Step 2: Convert to fraction form
    164,914.71/227,582.74 = 89,463.21/x
  3. Step 3: Cross multiply
    164,914.71x = 227,582.74 × 89,463.21
  4. Step 4: Simplify right side
    164,914.71x = 20,360,282,237.34
  5. Step 5: Solve for x
    x = 20,360,282,237.34/164,914.71
  6. Step 6: Final answer
    x = 123,459.47

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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.