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Finding the Fourth Proportional to 202,262.70, 302,810.85 and 123,530.70

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Solution

The fourth proportional to 202,262.70, 302,810.85 and 123,530.70 is: 184,939.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,262.70 : 302,810.85 = 123,530.70 : x
  2. Step 2: Convert to fraction form
    202,262.70/302,810.85 = 123,530.70/x
  3. Step 3: Cross multiply
    202,262.70x = 302,810.85 × 123,530.70
  4. Step 4: Simplify right side
    202,262.70x = 37,406,436,268.10
  5. Step 5: Solve for x
    x = 37,406,436,268.10/202,262.70
  6. Step 6: Final answer
    x = 184,939.86

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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.