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Finding the Fourth Proportional to 152,004, 209,765.52 and 84,936

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Solution

The fourth proportional to 152,004, 209,765.52 and 84,936 is: 117,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,004 : 209,765.52 = 84,936 : x
  2. Step 2: Convert to fraction form
    152,004/209,765.52 = 84,936/x
  3. Step 3: Cross multiply
    152,004x = 209,765.52 × 84,936
  4. Step 4: Simplify right side
    152,004x = 17,816,644,206.72
  5. Step 5: Solve for x
    x = 17,816,644,206.72/152,004
  6. Step 6: Final answer
    x = 117,211.68

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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.