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Finding the Fourth Proportional to 157,814.28, 217,804.68 and 100,459.44

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Solution

The fourth proportional to 157,814.28, 217,804.68 and 100,459.44 is: 138,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,814.28 : 217,804.68 = 100,459.44 : x
  2. Step 2: Convert to fraction form
    157,814.28/217,804.68 = 100,459.44/x
  3. Step 3: Cross multiply
    157,814.28x = 217,804.68 × 100,459.44
  4. Step 4: Simplify right side
    157,814.28x = 21,880,536,182.18
  5. Step 5: Solve for x
    x = 21,880,536,182.18/157,814.28
  6. Step 6: Final answer
    x = 138,647.38

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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.