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Finding the Fourth Proportional to 100,904.40, 151,356.60 and 30,774.60

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Solution

The fourth proportional to 100,904.40, 151,356.60 and 30,774.60 is: 46,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,904.40 : 151,356.60 = 30,774.60 : x
  2. Step 2: Convert to fraction form
    100,904.40/151,356.60 = 30,774.60/x
  3. Step 3: Cross multiply
    100,904.40x = 151,356.60 × 30,774.60
  4. Step 4: Simplify right side
    100,904.40x = 4,657,938,822.36
  5. Step 5: Solve for x
    x = 4,657,938,822.36/100,904.40
  6. Step 6: Final answer
    x = 46,161.90

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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.