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Finding the Fourth Proportional to 213,987.94, 295,303.29 and 118,494.61

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Solution

The fourth proportional to 213,987.94, 295,303.29 and 118,494.61 is: 163,522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,987.94 : 295,303.29 = 118,494.61 : x
  2. Step 2: Convert to fraction form
    213,987.94/295,303.29 = 118,494.61/x
  3. Step 3: Cross multiply
    213,987.94x = 295,303.29 × 118,494.61
  4. Step 4: Simplify right side
    213,987.94x = 34,991,848,180.27
  5. Step 5: Solve for x
    x = 34,991,848,180.27/213,987.94
  6. Step 6: Final answer
    x = 163,522.52

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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.