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Finding the Fourth Proportional to 201,702.70, 302,554.05 and 174,054.70

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Solution

The fourth proportional to 201,702.70, 302,554.05 and 174,054.70 is: 261,082.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,702.70 : 302,554.05 = 174,054.70 : x
  2. Step 2: Convert to fraction form
    201,702.70/302,554.05 = 174,054.70/x
  3. Step 3: Cross multiply
    201,702.70x = 302,554.05 × 174,054.70
  4. Step 4: Simplify right side
    201,702.70x = 52,660,954,406.54
  5. Step 5: Solve for x
    x = 52,660,954,406.54/201,702.70
  6. Step 6: Final answer
    x = 261,082.05

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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.