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Finding the Fourth Proportional to 264,291.34, 364,716.84 and 149,567.84

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Solution

The fourth proportional to 264,291.34, 364,716.84 and 149,567.84 is: 206,400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,291.34 : 364,716.84 = 149,567.84 : x
  2. Step 2: Convert to fraction form
    264,291.34/364,716.84 = 149,567.84/x
  3. Step 3: Cross multiply
    264,291.34x = 364,716.84 × 149,567.84
  4. Step 4: Simplify right side
    264,291.34x = 54,549,909,970.43
  5. Step 5: Solve for x
    x = 54,549,909,970.43/264,291.34
  6. Step 6: Final answer
    x = 206,400.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.