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Finding the Fourth Proportional to 282,521.98, 423,745.26 and 105,004.90

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Solution

The fourth proportional to 282,521.98, 423,745.26 and 105,004.90 is: 157,493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,521.98 : 423,745.26 = 105,004.90 : x
  2. Step 2: Convert to fraction form
    282,521.98/423,745.26 = 105,004.90/x
  3. Step 3: Cross multiply
    282,521.98x = 423,745.26 × 105,004.90
  4. Step 4: Simplify right side
    282,521.98x = 44,495,328,651.77
  5. Step 5: Solve for x
    x = 44,495,328,651.77/282,521.98
  6. Step 6: Final answer
    x = 157,493.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.