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Finding the Fourth Proportional to 214,321.70, 295,780.67 and 118,847.00

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Solution

The fourth proportional to 214,321.70, 295,780.67 and 118,847.00 is: 164,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,321.70 : 295,780.67 = 118,847.00 : x
  2. Step 2: Convert to fraction form
    214,321.70/295,780.67 = 118,847.00/x
  3. Step 3: Cross multiply
    214,321.70x = 295,780.67 × 118,847.00
  4. Step 4: Simplify right side
    214,321.70x = 35,152,643,214.35
  5. Step 5: Solve for x
    x = 35,152,643,214.35/214,321.70
  6. Step 6: Final answer
    x = 164,018.13

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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.