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Finding the Fourth Proportional to 201,853.40, 302,780.10 and 61,611.80

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Solution

The fourth proportional to 201,853.40, 302,780.10 and 61,611.80 is: 92,417.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,853.40 : 302,780.10 = 61,611.80 : x
  2. Step 2: Convert to fraction form
    201,853.40/302,780.10 = 61,611.80/x
  3. Step 3: Cross multiply
    201,853.40x = 302,780.10 × 61,611.80
  4. Step 4: Simplify right side
    201,853.40x = 18,654,826,965.18
  5. Step 5: Solve for x
    x = 18,654,826,965.18/201,853.40
  6. Step 6: Final answer
    x = 92,417.70

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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.