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Finding the Fourth Proportional to 202,292.70, 302,855.85 and 135,807.90

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Solution

The fourth proportional to 202,292.70, 302,855.85 and 135,807.90 is: 203,320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,292.70 : 302,855.85 = 135,807.90 : x
  2. Step 2: Convert to fraction form
    202,292.70/302,855.85 = 135,807.90/x
  3. Step 3: Cross multiply
    202,292.70x = 302,855.85 × 135,807.90
  4. Step 4: Simplify right side
    202,292.70x = 41,130,216,991.22
  5. Step 5: Solve for x
    x = 41,130,216,991.22/202,292.70
  6. Step 6: Final answer
    x = 203,320.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.