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Finding the Fourth Proportional to 282,168.06, 389,403.14 and 154,848.21

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Solution

The fourth proportional to 282,168.06, 389,403.14 and 154,848.21 is: 213,696.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,168.06 : 389,403.14 = 154,848.21 : x
  2. Step 2: Convert to fraction form
    282,168.06/389,403.14 = 154,848.21/x
  3. Step 3: Cross multiply
    282,168.06x = 389,403.14 × 154,848.21
  4. Step 4: Simplify right side
    282,168.06x = 60,298,379,197.38
  5. Step 5: Solve for x
    x = 60,298,379,197.38/282,168.06
  6. Step 6: Final answer
    x = 213,696.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.