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Finding the Fourth Proportional to 192,931.80, 289,408.64 and 59,830.98

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Solution

The fourth proportional to 192,931.80, 289,408.64 and 59,830.98 is: 89,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,931.80 : 289,408.64 = 59,830.98 : x
  2. Step 2: Convert to fraction form
    192,931.80/289,408.64 = 59,830.98/x
  3. Step 3: Cross multiply
    192,931.80x = 289,408.64 × 59,830.98
  4. Step 4: Simplify right side
    192,931.80x = 17,315,602,551.67
  5. Step 5: Solve for x
    x = 17,315,602,551.67/192,931.80
  6. Step 6: Final answer
    x = 89,749.86

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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.