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Finding the Fourth Proportional to 201,113.10, 301,756.05 and 102,617.10

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Solution

The fourth proportional to 201,113.10, 301,756.05 and 102,617.10 is: 153,969.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,113.10 : 301,756.05 = 102,617.10 : x
  2. Step 2: Convert to fraction form
    201,113.10/301,756.05 = 102,617.10/x
  3. Step 3: Cross multiply
    201,113.10x = 301,756.05 × 102,617.10
  4. Step 4: Simplify right side
    201,113.10x = 30,965,330,758.46
  5. Step 5: Solve for x
    x = 30,965,330,758.46/201,113.10
  6. Step 6: Final answer
    x = 153,969.74

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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.