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Finding the Fourth Proportional to 178,204, 245,921.52 and 98,716

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Solution

The fourth proportional to 178,204, 245,921.52 and 98,716 is: 136,228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,204 : 245,921.52 = 98,716 : x
  2. Step 2: Convert to fraction form
    178,204/245,921.52 = 98,716/x
  3. Step 3: Cross multiply
    178,204x = 245,921.52 × 98,716
  4. Step 4: Simplify right side
    178,204x = 24,276,388,768.32
  5. Step 5: Solve for x
    x = 24,276,388,768.32/178,204
  6. Step 6: Final answer
    x = 136,228.08

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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.