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Finding the Fourth Proportional to 202,362.24, 303,288.14 and 102,547.56

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Solution

The fourth proportional to 202,362.24, 303,288.14 and 102,547.56 is: 153,692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,362.24 : 303,288.14 = 102,547.56 : x
  2. Step 2: Convert to fraction form
    202,362.24/303,288.14 = 102,547.56/x
  3. Step 3: Cross multiply
    202,362.24x = 303,288.14 × 102,547.56
  4. Step 4: Simplify right side
    202,362.24x = 31,101,458,733.94
  5. Step 5: Solve for x
    x = 31,101,458,733.94/202,362.24
  6. Step 6: Final answer
    x = 153,692.01

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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.