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Finding the Fourth Proportional to 264,214.37, 364,613.74 and 149,492.04

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Solution

The fourth proportional to 264,214.37, 364,613.74 and 149,492.04 is: 206,297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,214.37 : 364,613.74 = 149,492.04 : x
  2. Step 2: Convert to fraction form
    264,214.37/364,613.74 = 149,492.04/x
  3. Step 3: Cross multiply
    264,214.37x = 364,613.74 × 149,492.04
  4. Step 4: Simplify right side
    264,214.37x = 54,506,852,311.95
  5. Step 5: Solve for x
    x = 54,506,852,311.95/264,214.37
  6. Step 6: Final answer
    x = 206,297.83

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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.