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Finding the Fourth Proportional to 363,813.64, 545,970.12 and 127,156.56

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Solution

The fourth proportional to 363,813.64, 545,970.12 and 127,156.56 is: 190,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,813.64 : 545,970.12 = 127,156.56 : x
  2. Step 2: Convert to fraction form
    363,813.64/545,970.12 = 127,156.56/x
  3. Step 3: Cross multiply
    363,813.64x = 545,970.12 × 127,156.56
  4. Step 4: Simplify right side
    363,813.64x = 69,423,682,321.99
  5. Step 5: Solve for x
    x = 69,423,682,321.99/363,813.64
  6. Step 6: Final answer
    x = 190,822.10

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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.