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Finding the Fourth Proportional to 178,164.62, 245,866.77 and 96,492.63

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Solution

The fourth proportional to 178,164.62, 245,866.77 and 96,492.63 is: 133,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,164.62 : 245,866.77 = 96,492.63 : x
  2. Step 2: Convert to fraction form
    178,164.62/245,866.77 = 96,492.63/x
  3. Step 3: Cross multiply
    178,164.62x = 245,866.77 × 96,492.63
  4. Step 4: Simplify right side
    178,164.62x = 23,724,331,266.91
  5. Step 5: Solve for x
    x = 23,724,331,266.91/178,164.62
  6. Step 6: Final answer
    x = 133,159.61

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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.