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Finding the Fourth Proportional to 214,389.50, 295,847.37 and 118,894.14

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Solution

The fourth proportional to 214,389.50, 295,847.37 and 118,894.14 is: 164,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,389.50 : 295,847.37 = 118,894.14 : x
  2. Step 2: Convert to fraction form
    214,389.50/295,847.37 = 118,894.14/x
  3. Step 3: Cross multiply
    214,389.50x = 295,847.37 × 118,894.14
  4. Step 4: Simplify right side
    214,389.50x = 35,174,518,627.41
  5. Step 5: Solve for x
    x = 35,174,518,627.41/214,389.50
  6. Step 6: Final answer
    x = 164,068.29

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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.