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Finding the Fourth Proportional to 271,904.80, 407,846.40 and 94,452.16

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Solution

The fourth proportional to 271,904.80, 407,846.40 and 94,452.16 is: 141,674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,904.80 : 407,846.40 = 94,452.16 : x
  2. Step 2: Convert to fraction form
    271,904.80/407,846.40 = 94,452.16/x
  3. Step 3: Cross multiply
    271,904.80x = 407,846.40 × 94,452.16
  4. Step 4: Simplify right side
    271,904.80x = 38,521,973,428.22
  5. Step 5: Solve for x
    x = 38,521,973,428.22/271,904.80
  6. Step 6: Final answer
    x = 141,674.49

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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.