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Finding the Fourth Proportional to 178,102.66, 245,809.44 and 101,621.64

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Solution

The fourth proportional to 178,102.66, 245,809.44 and 101,621.64 is: 140,253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,102.66 : 245,809.44 = 101,621.64 : x
  2. Step 2: Convert to fraction form
    178,102.66/245,809.44 = 101,621.64/x
  3. Step 3: Cross multiply
    178,102.66x = 245,809.44 × 101,621.64
  4. Step 4: Simplify right side
    178,102.66x = 24,979,558,420.28
  5. Step 5: Solve for x
    x = 24,979,558,420.28/178,102.66
  6. Step 6: Final answer
    x = 140,253.71

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Why These Related Problems?

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