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Finding the Fourth Proportional to 201,314.10, 302,007.60 and 101,222.40

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Solution

The fourth proportional to 201,314.10, 302,007.60 and 101,222.40 is: 151,851.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,314.10 : 302,007.60 = 101,222.40 : x
  2. Step 2: Convert to fraction form
    201,314.10/302,007.60 = 101,222.40/x
  3. Step 3: Cross multiply
    201,314.10x = 302,007.60 × 101,222.40
  4. Step 4: Simplify right side
    201,314.10x = 30,569,934,090.24
  5. Step 5: Solve for x
    x = 30,569,934,090.24/201,314.10
  6. Step 6: Final answer
    x = 151,851.93

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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.