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Finding the Fourth Proportional to 301,730.77, 452,654.53 and 102,083.69

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Solution

The fourth proportional to 301,730.77, 452,654.53 and 102,083.69 is: 153,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,730.77 : 452,654.53 = 102,083.69 : x
  2. Step 2: Convert to fraction form
    301,730.77/452,654.53 = 102,083.69/x
  3. Step 3: Cross multiply
    301,730.77x = 452,654.53 × 102,083.69
  4. Step 4: Simplify right side
    301,730.77x = 46,208,645,594.04
  5. Step 5: Solve for x
    x = 46,208,645,594.04/301,730.77
  6. Step 6: Final answer
    x = 153,145.29

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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.