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Finding the Fourth Proportional to 109,655.10, 164,548.27 and 100,732.14

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Solution

The fourth proportional to 109,655.10, 164,548.27 and 100,732.14 is: 151,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,655.10 : 164,548.27 = 100,732.14 : x
  2. Step 2: Convert to fraction form
    109,655.10/164,548.27 = 100,732.14/x
  3. Step 3: Cross multiply
    109,655.10x = 164,548.27 × 100,732.14
  4. Step 4: Simplify right side
    109,655.10x = 16,575,299,370.40
  5. Step 5: Solve for x
    x = 16,575,299,370.40/109,655.10
  6. Step 6: Final answer
    x = 151,158.49

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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.