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Finding the Fourth Proportional to 135,904.80, 204,075.90 and 102,662.40

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Solution

The fourth proportional to 135,904.80, 204,075.90 and 102,662.40 is: 154,158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,904.80 : 204,075.90 = 102,662.40 : x
  2. Step 2: Convert to fraction form
    135,904.80/204,075.90 = 102,662.40/x
  3. Step 3: Cross multiply
    135,904.80x = 204,075.90 × 102,662.40
  4. Step 4: Simplify right side
    135,904.80x = 20,950,921,676.16
  5. Step 5: Solve for x
    x = 20,950,921,676.16/135,904.80
  6. Step 6: Final answer
    x = 154,158.81

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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.