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Finding the Fourth Proportional to 125,885.36, 188,827.86 and 37,201.16

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Solution

The fourth proportional to 125,885.36, 188,827.86 and 37,201.16 is: 55,801.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,885.36 : 188,827.86 = 37,201.16 : x
  2. Step 2: Convert to fraction form
    125,885.36/188,827.86 = 37,201.16/x
  3. Step 3: Cross multiply
    125,885.36x = 188,827.86 × 37,201.16
  4. Step 4: Simplify right side
    125,885.36x = 7,024,615,432.32
  5. Step 5: Solve for x
    x = 7,024,615,432.32/125,885.36
  6. Step 6: Final answer
    x = 55,801.69

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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.