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Finding the Fourth Proportional to 301,894.50, 452,813.99 and 102,192.06

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Solution

The fourth proportional to 301,894.50, 452,813.99 and 102,192.06 is: 153,278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,894.50 : 452,813.99 = 102,192.06 : x
  2. Step 2: Convert to fraction form
    301,894.50/452,813.99 = 102,192.06/x
  3. Step 3: Cross multiply
    301,894.50x = 452,813.99 × 102,192.06
  4. Step 4: Simplify right side
    301,894.50x = 46,273,994,434.92
  5. Step 5: Solve for x
    x = 46,273,994,434.92/301,894.50
  6. Step 6: Final answer
    x = 153,278.69

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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.