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Finding the Fourth Proportional to 100,176.33, 138,246.47 and 54,858.62

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Solution

The fourth proportional to 100,176.33, 138,246.47 and 54,858.62 is: 75,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,176.33 : 138,246.47 = 54,858.62 : x
  2. Step 2: Convert to fraction form
    100,176.33/138,246.47 = 54,858.62/x
  3. Step 3: Cross multiply
    100,176.33x = 138,246.47 × 54,858.62
  4. Step 4: Simplify right side
    100,176.33x = 7,584,009,598.55
  5. Step 5: Solve for x
    x = 7,584,009,598.55/100,176.33
  6. Step 6: Final answer
    x = 75,706.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.