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Finding the Fourth Proportional to 149,874.64, 224,746.26 and 56,314.72

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Solution

The fourth proportional to 149,874.64, 224,746.26 and 56,314.72 is: 84,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,874.64 : 224,746.26 = 56,314.72 : x
  2. Step 2: Convert to fraction form
    149,874.64/224,746.26 = 56,314.72/x
  3. Step 3: Cross multiply
    149,874.64x = 224,746.26 × 56,314.72
  4. Step 4: Simplify right side
    149,874.64x = 12,656,522,702.95
  5. Step 5: Solve for x
    x = 12,656,522,702.95/149,874.64
  6. Step 6: Final answer
    x = 84,447.39

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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.