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Finding the Fourth Proportional to 213,967.73, 295,284.64 and 118,474.35

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Solution

The fourth proportional to 213,967.73, 295,284.64 and 118,474.35 is: 163,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,967.73 : 295,284.64 = 118,474.35 : x
  2. Step 2: Convert to fraction form
    213,967.73/295,284.64 = 118,474.35/x
  3. Step 3: Cross multiply
    213,967.73x = 295,284.64 × 118,474.35
  4. Step 4: Simplify right side
    213,967.73x = 34,983,654,607.62
  5. Step 5: Solve for x
    x = 34,983,654,607.62/213,967.73
  6. Step 6: Final answer
    x = 163,499.68

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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.