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Finding the Fourth Proportional to 364,072.84, 545,756.40 and 139,260.16

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Solution

The fourth proportional to 364,072.84, 545,756.40 and 139,260.16 is: 208,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,072.84 : 545,756.40 = 139,260.16 : x
  2. Step 2: Convert to fraction form
    364,072.84/545,756.40 = 139,260.16/x
  3. Step 3: Cross multiply
    364,072.84x = 545,756.40 × 139,260.16
  4. Step 4: Simplify right side
    364,072.84x = 76,002,123,585.02
  5. Step 5: Solve for x
    x = 76,002,123,585.02/364,072.84
  6. Step 6: Final answer
    x = 208,755.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.