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Finding the Fourth Proportional to 178,162.62, 245,864.01 and 96,490.63

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Solution

The fourth proportional to 178,162.62, 245,864.01 and 96,490.63 is: 133,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,162.62 : 245,864.01 = 96,490.63 : x
  2. Step 2: Convert to fraction form
    178,162.62/245,864.01 = 96,490.63/x
  3. Step 3: Cross multiply
    178,162.62x = 245,864.01 × 96,490.63
  4. Step 4: Simplify right side
    178,162.62x = 23,723,571,962.65
  5. Step 5: Solve for x
    x = 23,723,571,962.65/178,162.62
  6. Step 6: Final answer
    x = 133,156.84

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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.