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Finding the Fourth Proportional to 101,204.40, 151,806.60 and 42,009.60

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Solution

The fourth proportional to 101,204.40, 151,806.60 and 42,009.60 is: 63,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,204.40 : 151,806.60 = 42,009.60 : x
  2. Step 2: Convert to fraction form
    101,204.40/151,806.60 = 42,009.60/x
  3. Step 3: Cross multiply
    101,204.40x = 151,806.60 × 42,009.60
  4. Step 4: Simplify right side
    101,204.40x = 6,377,334,543.36
  5. Step 5: Solve for x
    x = 6,377,334,543.36/101,204.40
  6. Step 6: Final answer
    x = 63,014.40

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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.