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Finding the Fourth Proportional to 125,884.36, 188,826.36 and 37,200.16

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Solution

The fourth proportional to 125,884.36, 188,826.36 and 37,200.16 is: 55,800.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,884.36 : 188,826.36 = 37,200.16 : x
  2. Step 2: Convert to fraction form
    125,884.36/188,826.36 = 37,200.16/x
  3. Step 3: Cross multiply
    125,884.36x = 188,826.36 × 37,200.16
  4. Step 4: Simplify right side
    125,884.36x = 7,024,370,804.22
  5. Step 5: Solve for x
    x = 7,024,370,804.22/125,884.36
  6. Step 6: Final answer
    x = 55,800.19

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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.