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Finding the Fourth Proportional to 181,714.22, 272,582.28 and 57,055.22

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Solution

The fourth proportional to 181,714.22, 272,582.28 and 57,055.22 is: 85,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,714.22 : 272,582.28 = 57,055.22 : x
  2. Step 2: Convert to fraction form
    181,714.22/272,582.28 = 57,055.22/x
  3. Step 3: Cross multiply
    181,714.22x = 272,582.28 × 57,055.22
  4. Step 4: Simplify right side
    181,714.22x = 15,552,241,612.77
  5. Step 5: Solve for x
    x = 15,552,241,612.77/181,714.22
  6. Step 6: Final answer
    x = 85,586.27

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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.