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Finding the Fourth Proportional to 192,658.34, 265,880.80 and 107,776.02

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Solution

The fourth proportional to 192,658.34, 265,880.80 and 107,776.02 is: 148,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,658.34 : 265,880.80 = 107,776.02 : x
  2. Step 2: Convert to fraction form
    192,658.34/265,880.80 = 107,776.02/x
  3. Step 3: Cross multiply
    192,658.34x = 265,880.80 × 107,776.02
  4. Step 4: Simplify right side
    192,658.34x = 28,655,574,418.42
  5. Step 5: Solve for x
    x = 28,655,574,418.42/192,658.34
  6. Step 6: Final answer
    x = 148,737.78

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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.