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Finding the Fourth Proportional to 152,037, 209,817.54 and 84,969

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Solution

The fourth proportional to 152,037, 209,817.54 and 84,969 is: 117,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,037 : 209,817.54 = 84,969 : x
  2. Step 2: Convert to fraction form
    152,037/209,817.54 = 84,969/x
  3. Step 3: Cross multiply
    152,037x = 209,817.54 × 84,969
  4. Step 4: Simplify right side
    152,037x = 17,827,986,556.26
  5. Step 5: Solve for x
    x = 17,827,986,556.26/152,037
  6. Step 6: Final answer
    x = 117,260.84

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Why These Related Problems?

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