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Finding the Fourth Proportional to 301,720.56, 452,639.16 and 102,073.44

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Solution

The fourth proportional to 301,720.56, 452,639.16 and 102,073.44 is: 153,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,720.56 : 452,639.16 = 102,073.44 : x
  2. Step 2: Convert to fraction form
    301,720.56/452,639.16 = 102,073.44/x
  3. Step 3: Cross multiply
    301,720.56x = 452,639.16 × 102,073.44
  4. Step 4: Simplify right side
    301,720.56x = 46,202,436,139.91
  5. Step 5: Solve for x
    x = 46,202,436,139.91/301,720.56
  6. Step 6: Final answer
    x = 153,129.89

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Why These Related Problems?

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