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Finding the Fourth Proportional to 100,858.40, 151,287.60 and 30,737.60

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Solution

The fourth proportional to 100,858.40, 151,287.60 and 30,737.60 is: 46,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,858.40 : 151,287.60 = 30,737.60 : x
  2. Step 2: Convert to fraction form
    100,858.40/151,287.60 = 30,737.60/x
  3. Step 3: Cross multiply
    100,858.40x = 151,287.60 × 30,737.60
  4. Step 4: Simplify right side
    100,858.40x = 4,650,217,733.76
  5. Step 5: Solve for x
    x = 4,650,217,733.76/100,858.40
  6. Step 6: Final answer
    x = 46,106.40

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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.