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Finding the Fourth Proportional to 154,538.69, 213,289.10 and 106,100.99

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Solution

The fourth proportional to 154,538.69, 213,289.10 and 106,100.99 is: 146,437.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,538.69 : 213,289.10 = 106,100.99 : x
  2. Step 2: Convert to fraction form
    154,538.69/213,289.10 = 106,100.99/x
  3. Step 3: Cross multiply
    154,538.69x = 213,289.10 × 106,100.99
  4. Step 4: Simplify right side
    154,538.69x = 22,630,184,266.97
  5. Step 5: Solve for x
    x = 22,630,184,266.97/154,538.69
  6. Step 6: Final answer
    x = 146,437.02

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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.