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Finding the Fourth Proportional to 192,577.64, 288,893.10 and 59,468.36

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Solution

The fourth proportional to 192,577.64, 288,893.10 and 59,468.36 is: 89,210.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,577.64 : 288,893.10 = 59,468.36 : x
  2. Step 2: Convert to fraction form
    192,577.64/288,893.10 = 59,468.36/x
  3. Step 3: Cross multiply
    192,577.64x = 288,893.10 × 59,468.36
  4. Step 4: Simplify right side
    192,577.64x = 17,179,998,872.32
  5. Step 5: Solve for x
    x = 17,179,998,872.32/192,577.64
  6. Step 6: Final answer
    x = 89,210.77

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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.