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Finding the Fourth Proportional to 215,395.84, 296,992 and 147,445.76

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Solution

The fourth proportional to 215,395.84, 296,992 and 147,445.76 is: 203,301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,395.84 : 296,992 = 147,445.76 : x
  2. Step 2: Convert to fraction form
    215,395.84/296,992 = 147,445.76/x
  3. Step 3: Cross multiply
    215,395.84x = 296,992 × 147,445.76
  4. Step 4: Simplify right side
    215,395.84x = 43,790,211,153.92
  5. Step 5: Solve for x
    x = 43,790,211,153.92/215,395.84
  6. Step 6: Final answer
    x = 203,301.10

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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.