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Finding the Fourth Proportional to 147,408, 203,428.64 and 80,340

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Solution

The fourth proportional to 147,408, 203,428.64 and 80,340 is: 110,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,408 : 203,428.64 = 80,340 : x
  2. Step 2: Convert to fraction form
    147,408/203,428.64 = 80,340/x
  3. Step 3: Cross multiply
    147,408x = 203,428.64 × 80,340
  4. Step 4: Simplify right side
    147,408x = 16,343,456,937.60
  5. Step 5: Solve for x
    x = 16,343,456,937.60/147,408
  6. Step 6: Final answer
    x = 110,872.25

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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.