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Finding the Fourth Proportional to 214,477.16, 295,978.82 and 118,983.85

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Solution

The fourth proportional to 214,477.16, 295,978.82 and 118,983.85 is: 164,197.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,477.16 : 295,978.82 = 118,983.85 : x
  2. Step 2: Convert to fraction form
    214,477.16/295,978.82 = 118,983.85/x
  3. Step 3: Cross multiply
    214,477.16x = 295,978.82 × 118,983.85
  4. Step 4: Simplify right side
    214,477.16x = 35,216,699,079.57
  5. Step 5: Solve for x
    x = 35,216,699,079.57/214,477.16
  6. Step 6: Final answer
    x = 164,197.90

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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.