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Finding the Fourth Proportional to 164,820.81, 227,457.18 and 93,211.50

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Solution

The fourth proportional to 164,820.81, 227,457.18 and 93,211.50 is: 128,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,820.81 : 227,457.18 = 93,211.50 : x
  2. Step 2: Convert to fraction form
    164,820.81/227,457.18 = 93,211.50/x
  3. Step 3: Cross multiply
    164,820.81x = 227,457.18 × 93,211.50
  4. Step 4: Simplify right side
    164,820.81x = 21,201,624,933.57
  5. Step 5: Solve for x
    x = 21,201,624,933.57/164,820.81
  6. Step 6: Final answer
    x = 128,634.39

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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.