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Finding the Fourth Proportional to 192,658.98, 265,865.40 and 106,617.93

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Solution

The fourth proportional to 192,658.98, 265,865.40 and 106,617.93 is: 147,130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,658.98 : 265,865.40 = 106,617.93 : x
  2. Step 2: Convert to fraction form
    192,658.98/265,865.40 = 106,617.93/x
  3. Step 3: Cross multiply
    192,658.98x = 265,865.40 × 106,617.93
  4. Step 4: Simplify right side
    192,658.98x = 28,346,018,606.62
  5. Step 5: Solve for x
    x = 28,346,018,606.62/192,658.98
  6. Step 6: Final answer
    x = 147,130.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.