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Finding the Fourth Proportional to 100,209.41, 138,254.65 and 57,157.96

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Solution

The fourth proportional to 100,209.41, 138,254.65 and 57,157.96 is: 78,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,209.41 : 138,254.65 = 57,157.96 : x
  2. Step 2: Convert to fraction form
    100,209.41/138,254.65 = 57,157.96/x
  3. Step 3: Cross multiply
    100,209.41x = 138,254.65 × 57,157.96
  4. Step 4: Simplify right side
    100,209.41x = 7,902,353,754.51
  5. Step 5: Solve for x
    x = 7,902,353,754.51/100,209.41
  6. Step 6: Final answer
    x = 78,858.40

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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.