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Finding the Fourth Proportional to 109,478.48, 164,334.36 and 105,512.72

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Solution

The fourth proportional to 109,478.48, 164,334.36 and 105,512.72 is: 158,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,478.48 : 164,334.36 = 105,512.72 : x
  2. Step 2: Convert to fraction form
    109,478.48/164,334.36 = 105,512.72/x
  3. Step 3: Cross multiply
    109,478.48x = 164,334.36 × 105,512.72
  4. Step 4: Simplify right side
    109,478.48x = 17,339,365,313.06
  5. Step 5: Solve for x
    x = 17,339,365,313.06/109,478.48
  6. Step 6: Final answer
    x = 158,381.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.