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Finding the Fourth Proportional to 119,175.71, 164,289.26 and 83,254.23

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Solution

The fourth proportional to 119,175.71, 164,289.26 and 83,254.23 is: 114,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,175.71 : 164,289.26 = 83,254.23 : x
  2. Step 2: Convert to fraction form
    119,175.71/164,289.26 = 83,254.23/x
  3. Step 3: Cross multiply
    119,175.71x = 164,289.26 × 83,254.23
  4. Step 4: Simplify right side
    119,175.71x = 13,677,776,046.71
  5. Step 5: Solve for x
    x = 13,677,776,046.71/119,175.71
  6. Step 6: Final answer
    x = 114,769.84

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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.