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Finding the Fourth Proportional to 213,883.38, 295,128.14 and 118,389.86

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Solution

The fourth proportional to 213,883.38, 295,128.14 and 118,389.86 is: 163,360.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,883.38 : 295,128.14 = 118,389.86 : x
  2. Step 2: Convert to fraction form
    213,883.38/295,128.14 = 118,389.86/x
  3. Step 3: Cross multiply
    213,883.38x = 295,128.14 × 118,389.86
  4. Step 4: Simplify right side
    213,883.38x = 34,940,179,176.66
  5. Step 5: Solve for x
    x = 34,940,179,176.66/213,883.38
  6. Step 6: Final answer
    x = 163,360.89

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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.