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Finding the Fourth Proportional to 102,119, 153,187.14 and 28,247

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Solution

The fourth proportional to 102,119, 153,187.14 and 28,247 is: 42,372.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,119 : 153,187.14 = 28,247 : x
  2. Step 2: Convert to fraction form
    102,119/153,187.14 = 28,247/x
  3. Step 3: Cross multiply
    102,119x = 153,187.14 × 28,247
  4. Step 4: Simplify right side
    102,119x = 4,327,077,143.58
  5. Step 5: Solve for x
    x = 4,327,077,143.58/102,119
  6. Step 6: Final answer
    x = 42,372.89

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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.