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Finding the Fourth Proportional to 176,714.96, 243,742.44 and 116,266.28

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Solution

The fourth proportional to 176,714.96, 243,742.44 and 116,266.28 is: 160,365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,714.96 : 243,742.44 = 116,266.28 : x
  2. Step 2: Convert to fraction form
    176,714.96/243,742.44 = 116,266.28/x
  3. Step 3: Cross multiply
    176,714.96x = 243,742.44 × 116,266.28
  4. Step 4: Simplify right side
    176,714.96x = 28,339,026,776.92
  5. Step 5: Solve for x
    x = 28,339,026,776.92/176,714.96
  6. Step 6: Final answer
    x = 160,365.75

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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.