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Finding the Fourth Proportional to 311,436.77, 429,782.63 and 168,196.84

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Solution

The fourth proportional to 311,436.77, 429,782.63 and 168,196.84 is: 232,111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,436.77 : 429,782.63 = 168,196.84 : x
  2. Step 2: Convert to fraction form
    311,436.77/429,782.63 = 168,196.84/x
  3. Step 3: Cross multiply
    311,436.77x = 429,782.63 × 168,196.84
  4. Step 4: Simplify right side
    311,436.77x = 72,288,080,252.89
  5. Step 5: Solve for x
    x = 72,288,080,252.89/311,436.77
  6. Step 6: Final answer
    x = 232,111.58

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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.