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Finding the Fourth Proportional to 102,100.96, 153,051.45 and 57,144.27

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Solution

The fourth proportional to 102,100.96, 153,051.45 and 57,144.27 is: 85,660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,100.96 : 153,051.45 = 57,144.27 : x
  2. Step 2: Convert to fraction form
    102,100.96/153,051.45 = 57,144.27/x
  3. Step 3: Cross multiply
    102,100.96x = 153,051.45 × 57,144.27
  4. Step 4: Simplify right side
    102,100.96x = 8,746,012,714.34
  5. Step 5: Solve for x
    x = 8,746,012,714.34/102,100.96
  6. Step 6: Final answer
    x = 85,660.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.