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Finding the Fourth Proportional to 125,804.88, 188,708.94 and 37,038.20

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Solution

The fourth proportional to 125,804.88, 188,708.94 and 37,038.20 is: 55,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,804.88 : 188,708.94 = 37,038.20 : x
  2. Step 2: Convert to fraction form
    125,804.88/188,708.94 = 37,038.20/x
  3. Step 3: Cross multiply
    125,804.88x = 188,708.94 × 37,038.20
  4. Step 4: Simplify right side
    125,804.88x = 6,989,438,517.96
  5. Step 5: Solve for x
    x = 6,989,438,517.96/125,804.88
  6. Step 6: Final answer
    x = 55,557.77

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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.