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Finding the Fourth Proportional to 301,792.94, 452,654.04 and 102,112.73

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Solution

The fourth proportional to 301,792.94, 452,654.04 and 102,112.73 is: 153,157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,792.94 : 452,654.04 = 102,112.73 : x
  2. Step 2: Convert to fraction form
    301,792.94/452,654.04 = 102,112.73/x
  3. Step 3: Cross multiply
    301,792.94x = 452,654.04 × 102,112.73
  4. Step 4: Simplify right side
    301,792.94x = 46,221,739,769.93
  5. Step 5: Solve for x
    x = 46,221,739,769.93/301,792.94
  6. Step 6: Final answer
    x = 153,157.13

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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.