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Finding the Fourth Proportional to 180,353.84, 248,968.01 and 107,782.34

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Solution

The fourth proportional to 180,353.84, 248,968.01 and 107,782.34 is: 148,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,353.84 : 248,968.01 = 107,782.34 : x
  2. Step 2: Convert to fraction form
    180,353.84/248,968.01 = 107,782.34/x
  3. Step 3: Cross multiply
    180,353.84x = 248,968.01 × 107,782.34
  4. Step 4: Simplify right side
    180,353.84x = 26,834,353,727.56
  5. Step 5: Solve for x
    x = 26,834,353,727.56/180,353.84
  6. Step 6: Final answer
    x = 148,787.26

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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.