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Finding the Fourth Proportional to 178,092.48, 266,714.65 and 103,054.49

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Solution

The fourth proportional to 178,092.48, 266,714.65 and 103,054.49 is: 154,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,092.48 : 266,714.65 = 103,054.49 : x
  2. Step 2: Convert to fraction form
    178,092.48/266,714.65 = 103,054.49/x
  3. Step 3: Cross multiply
    178,092.48x = 266,714.65 × 103,054.49
  4. Step 4: Simplify right side
    178,092.48x = 27,486,142,231.28
  5. Step 5: Solve for x
    x = 27,486,142,231.28/178,092.48
  6. Step 6: Final answer
    x = 154,336.34

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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.