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Finding the Fourth Proportional to 201,914.10, 302,914.35 and 61,686.90

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Solution

The fourth proportional to 201,914.10, 302,914.35 and 61,686.90 is: 92,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,914.10 : 302,914.35 = 61,686.90 : x
  2. Step 2: Convert to fraction form
    201,914.10/302,914.35 = 61,686.90/x
  3. Step 3: Cross multiply
    201,914.10x = 302,914.35 × 61,686.90
  4. Step 4: Simplify right side
    201,914.10x = 18,685,847,217.02
  5. Step 5: Solve for x
    x = 18,685,847,217.02/201,914.10
  6. Step 6: Final answer
    x = 92,543.55

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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.