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Finding the Fourth Proportional to 202,945.17, 304,435.67 and 53,184.87

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Solution

The fourth proportional to 202,945.17, 304,435.67 and 53,184.87 is: 79,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,945.17 : 304,435.67 = 53,184.87 : x
  2. Step 2: Convert to fraction form
    202,945.17/304,435.67 = 53,184.87/x
  3. Step 3: Cross multiply
    202,945.17x = 304,435.67 × 53,184.87
  4. Step 4: Simplify right side
    202,945.17x = 16,191,371,532.31
  5. Step 5: Solve for x
    x = 16,191,371,532.31/202,945.17
  6. Step 6: Final answer
    x = 79,782.00

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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.