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Finding the Fourth Proportional to 214,391.70, 295,841.16 and 118,898.10

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Solution

The fourth proportional to 214,391.70, 295,841.16 and 118,898.10 is: 164,068.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,391.70 : 295,841.16 = 118,898.10 : x
  2. Step 2: Convert to fraction form
    214,391.70/295,841.16 = 118,898.10/x
  3. Step 3: Cross multiply
    214,391.70x = 295,841.16 × 118,898.10
  4. Step 4: Simplify right side
    214,391.70x = 35,174,951,825.80
  5. Step 5: Solve for x
    x = 35,174,951,825.80/214,391.70
  6. Step 6: Final answer
    x = 164,068.63

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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.