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Finding the Fourth Proportional to 178,833.33, 268,291.51 and 52,468.47

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Solution

The fourth proportional to 178,833.33, 268,291.51 and 52,468.47 is: 78,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,833.33 : 268,291.51 = 52,468.47 : x
  2. Step 2: Convert to fraction form
    178,833.33/268,291.51 = 52,468.47/x
  3. Step 3: Cross multiply
    178,833.33x = 268,291.51 × 52,468.47
  4. Step 4: Simplify right side
    178,833.33x = 14,076,845,043.69
  5. Step 5: Solve for x
    x = 14,076,845,043.69/178,833.33
  6. Step 6: Final answer
    x = 78,714.89

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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.