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Finding the Fourth Proportional to 255,197.10, 352,111.86 and 214,515.90

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Solution

The fourth proportional to 255,197.10, 352,111.86 and 214,515.90 is: 295,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,197.10 : 352,111.86 = 214,515.90 : x
  2. Step 2: Convert to fraction form
    255,197.10/352,111.86 = 214,515.90/x
  3. Step 3: Cross multiply
    255,197.10x = 352,111.86 × 214,515.90
  4. Step 4: Simplify right side
    255,197.10x = 75,533,592,548.57
  5. Step 5: Solve for x
    x = 75,533,592,548.57/255,197.10
  6. Step 6: Final answer
    x = 295,981.39

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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.