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Finding the Fourth Proportional to 201,180.10, 301,806.60 and 101,088.40

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Solution

The fourth proportional to 201,180.10, 301,806.60 and 101,088.40 is: 151,650.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,180.10 : 301,806.60 = 101,088.40 : x
  2. Step 2: Convert to fraction form
    201,180.10/301,806.60 = 101,088.40/x
  3. Step 3: Cross multiply
    201,180.10x = 301,806.60 × 101,088.40
  4. Step 4: Simplify right side
    201,180.10x = 30,509,146,303.44
  5. Step 5: Solve for x
    x = 30,509,146,303.44/201,180.10
  6. Step 6: Final answer
    x = 151,650.92

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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.