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Finding the Fourth Proportional to 192,686.94, 289,058.14 and 59,578.82

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Solution

The fourth proportional to 192,686.94, 289,058.14 and 59,578.82 is: 89,376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,686.94 : 289,058.14 = 59,578.82 : x
  2. Step 2: Convert to fraction form
    192,686.94/289,058.14 = 59,578.82/x
  3. Step 3: Cross multiply
    192,686.94x = 289,058.14 × 59,578.82
  4. Step 4: Simplify right side
    192,686.94x = 17,221,742,892.59
  5. Step 5: Solve for x
    x = 17,221,742,892.59/192,686.94
  6. Step 6: Final answer
    x = 89,376.80

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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.