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Finding the Fourth Proportional to 104,870.40, 157,305.60 and 75,564.60

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Solution

The fourth proportional to 104,870.40, 157,305.60 and 75,564.60 is: 113,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,870.40 : 157,305.60 = 75,564.60 : x
  2. Step 2: Convert to fraction form
    104,870.40/157,305.60 = 75,564.60/x
  3. Step 3: Cross multiply
    104,870.40x = 157,305.60 × 75,564.60
  4. Step 4: Simplify right side
    104,870.40x = 11,886,734,741.76
  5. Step 5: Solve for x
    x = 11,886,734,741.76/104,870.40
  6. Step 6: Final answer
    x = 113,346.90

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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.