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Finding the Fourth Proportional to 355,965.36, 533,891.88 and 166,557.12

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Solution

The fourth proportional to 355,965.36, 533,891.88 and 166,557.12 is: 249,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,965.36 : 533,891.88 = 166,557.12 : x
  2. Step 2: Convert to fraction form
    355,965.36/533,891.88 = 166,557.12/x
  3. Step 3: Cross multiply
    355,965.36x = 533,891.88 × 166,557.12
  4. Step 4: Simplify right side
    355,965.36x = 88,923,493,924.19
  5. Step 5: Solve for x
    x = 88,923,493,924.19/355,965.36
  6. Step 6: Final answer
    x = 249,809.40

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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.