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Finding the Fourth Proportional to 201,853.40, 302,415.60 and 117,544.55

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Solution

The fourth proportional to 201,853.40, 302,415.60 and 117,544.55 is: 176,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,853.40 : 302,415.60 = 117,544.55 : x
  2. Step 2: Convert to fraction form
    201,853.40/302,415.60 = 117,544.55/x
  3. Step 3: Cross multiply
    201,853.40x = 302,415.60 × 117,544.55
  4. Step 4: Simplify right side
    201,853.40x = 35,547,305,614.98
  5. Step 5: Solve for x
    x = 35,547,305,614.98/201,853.40
  6. Step 6: Final answer
    x = 176,104.57

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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.