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Finding the Fourth Proportional to 255,702.57, 383,569.23 and 78,211.12

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Solution

The fourth proportional to 255,702.57, 383,569.23 and 78,211.12 is: 117,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,702.57 : 383,569.23 = 78,211.12 : x
  2. Step 2: Convert to fraction form
    255,702.57/383,569.23 = 78,211.12/x
  3. Step 3: Cross multiply
    255,702.57x = 383,569.23 × 78,211.12
  4. Step 4: Simplify right side
    255,702.57x = 29,999,378,312.44
  5. Step 5: Solve for x
    x = 29,999,378,312.44/255,702.57
  6. Step 6: Final answer
    x = 117,321.38

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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.