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Finding the Fourth Proportional to 125,904.96, 188,792.28 and 37,147.20

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Solution

The fourth proportional to 125,904.96, 188,792.28 and 37,147.20 is: 55,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,904.96 : 188,792.28 = 37,147.20 : x
  2. Step 2: Convert to fraction form
    125,904.96/188,792.28 = 37,147.20/x
  3. Step 3: Cross multiply
    125,904.96x = 188,792.28 × 37,147.20
  4. Step 4: Simplify right side
    125,904.96x = 7,013,104,583.62
  5. Step 5: Solve for x
    x = 7,013,104,583.62/125,904.96
  6. Step 6: Final answer
    x = 55,701.58

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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.