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Finding the Fourth Proportional to 202,698.36, 302,563.26 and 178,757.40

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Solution

The fourth proportional to 202,698.36, 302,563.26 and 178,757.40 is: 266,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,698.36 : 302,563.26 = 178,757.40 : x
  2. Step 2: Convert to fraction form
    202,698.36/302,563.26 = 178,757.40/x
  3. Step 3: Cross multiply
    202,698.36x = 302,563.26 × 178,757.40
  4. Step 4: Simplify right side
    202,698.36x = 54,085,421,693.12
  5. Step 5: Solve for x
    x = 54,085,421,693.12/202,698.36
  6. Step 6: Final answer
    x = 266,827.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.