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Finding the Fourth Proportional to 301,894.19, 452,813.52 and 102,191.75

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Solution

The fourth proportional to 301,894.19, 452,813.52 and 102,191.75 is: 153,278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,894.19 : 452,813.52 = 102,191.75 : x
  2. Step 2: Convert to fraction form
    301,894.19/452,813.52 = 102,191.75/x
  3. Step 3: Cross multiply
    301,894.19x = 452,813.52 × 102,191.75
  4. Step 4: Simplify right side
    301,894.19x = 46,273,806,032.46
  5. Step 5: Solve for x
    x = 46,273,806,032.46/301,894.19
  6. Step 6: Final answer
    x = 153,278.23

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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.