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Finding the Fourth Proportional to 100,283.06, 138,391.54 and 57,842.51

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Solution

The fourth proportional to 100,283.06, 138,391.54 and 57,842.51 is: 79,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,283.06 : 138,391.54 = 57,842.51 : x
  2. Step 2: Convert to fraction form
    100,283.06/138,391.54 = 57,842.51/x
  3. Step 3: Cross multiply
    100,283.06x = 138,391.54 × 57,842.51
  4. Step 4: Simplify right side
    100,283.06x = 8,004,913,199.80
  5. Step 5: Solve for x
    x = 8,004,913,199.80/100,283.06
  6. Step 6: Final answer
    x = 79,823.18

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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.