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Finding the Fourth Proportional to 202,698.60, 304,047.90 and 165,834.60

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Solution

The fourth proportional to 202,698.60, 304,047.90 and 165,834.60 is: 248,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,698.60 : 304,047.90 = 165,834.60 : x
  2. Step 2: Convert to fraction form
    202,698.60/304,047.90 = 165,834.60/x
  3. Step 3: Cross multiply
    202,698.60x = 304,047.90 × 165,834.60
  4. Step 4: Simplify right side
    202,698.60x = 50,421,661,877.34
  5. Step 5: Solve for x
    x = 50,421,661,877.34/202,698.60
  6. Step 6: Final answer
    x = 248,751.90

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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.