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Finding the Fourth Proportional to 102,018, 153,035.82 and 28,146

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Solution

The fourth proportional to 102,018, 153,035.82 and 28,146 is: 42,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,018 : 153,035.82 = 28,146 : x
  2. Step 2: Convert to fraction form
    102,018/153,035.82 = 28,146/x
  3. Step 3: Cross multiply
    102,018x = 153,035.82 × 28,146
  4. Step 4: Simplify right side
    102,018x = 4,307,346,189.72
  5. Step 5: Solve for x
    x = 4,307,346,189.72/102,018
  6. Step 6: Final answer
    x = 42,221.43

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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.