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Finding the Fourth Proportional to 154,803.76, 232,238.48 and 49,696.56

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Solution

The fourth proportional to 154,803.76, 232,238.48 and 49,696.56 is: 74,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,803.76 : 232,238.48 = 49,696.56 : x
  2. Step 2: Convert to fraction form
    154,803.76/232,238.48 = 49,696.56/x
  3. Step 3: Cross multiply
    154,803.76x = 232,238.48 × 49,696.56
  4. Step 4: Simplify right side
    154,803.76x = 11,541,453,555.63
  5. Step 5: Solve for x
    x = 11,541,453,555.63/154,803.76
  6. Step 6: Final answer
    x = 74,555.38

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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.