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Finding the Fourth Proportional to 183,205.80, 274,857.30 and 64,864.80

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Solution

The fourth proportional to 183,205.80, 274,857.30 and 64,864.80 is: 97,314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,205.80 : 274,857.30 = 64,864.80 : x
  2. Step 2: Convert to fraction form
    183,205.80/274,857.30 = 64,864.80/x
  3. Step 3: Cross multiply
    183,205.80x = 274,857.30 × 64,864.80
  4. Step 4: Simplify right side
    183,205.80x = 17,828,563,793.04
  5. Step 5: Solve for x
    x = 17,828,563,793.04/183,205.80
  6. Step 6: Final answer
    x = 97,314.41

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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.