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Finding the Fourth Proportional to 78,119.37, 107,804.32 and 42,309.07

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Solution

The fourth proportional to 78,119.37, 107,804.32 and 42,309.07 is: 58,386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,119.37 : 107,804.32 = 42,309.07 : x
  2. Step 2: Convert to fraction form
    78,119.37/107,804.32 = 42,309.07/x
  3. Step 3: Cross multiply
    78,119.37x = 107,804.32 × 42,309.07
  4. Step 4: Simplify right side
    78,119.37x = 4,561,100,145.90
  5. Step 5: Solve for x
    x = 4,561,100,145.90/78,119.37
  6. Step 6: Final answer
    x = 58,386.29

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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.