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Finding the Fourth Proportional to 264,317.60, 364,759.38 and 143,459.06

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Solution

The fourth proportional to 264,317.60, 364,759.38 and 143,459.06 is: 197,974.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,317.60 : 364,759.38 = 143,459.06 : x
  2. Step 2: Convert to fraction form
    264,317.60/364,759.38 = 143,459.06/x
  3. Step 3: Cross multiply
    264,317.60x = 364,759.38 × 143,459.06
  4. Step 4: Simplify right side
    264,317.60x = 52,328,035,957.19
  5. Step 5: Solve for x
    x = 52,328,035,957.19/264,317.60
  6. Step 6: Final answer
    x = 197,974.09

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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.