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Finding the Fourth Proportional to 285,189.13, 393,603.24 and 164,307.43

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Solution

The fourth proportional to 285,189.13, 393,603.24 and 164,307.43 is: 226,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,189.13 : 393,603.24 = 164,307.43 : x
  2. Step 2: Convert to fraction form
    285,189.13/393,603.24 = 164,307.43/x
  3. Step 3: Cross multiply
    285,189.13x = 393,603.24 × 164,307.43
  4. Step 4: Simplify right side
    285,189.13x = 64,671,936,804.07
  5. Step 5: Solve for x
    x = 64,671,936,804.07/285,189.13
  6. Step 6: Final answer
    x = 226,768.59

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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.