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Finding the Fourth Proportional to 154,693.44, 232,069.20 and 49,484.16

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Solution

The fourth proportional to 154,693.44, 232,069.20 and 49,484.16 is: 74,235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,693.44 : 232,069.20 = 49,484.16 : x
  2. Step 2: Convert to fraction form
    154,693.44/232,069.20 = 49,484.16/x
  3. Step 3: Cross multiply
    154,693.44x = 232,069.20 × 49,484.16
  4. Step 4: Simplify right side
    154,693.44x = 11,483,749,423.87
  5. Step 5: Solve for x
    x = 11,483,749,423.87/154,693.44
  6. Step 6: Final answer
    x = 74,235.53

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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.