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Finding the Fourth Proportional to 192,700, 265,926 and 107,833.47

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Solution

The fourth proportional to 192,700, 265,926 and 107,833.47 is: 148,810.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,700 : 265,926 = 107,833.47 : x
  2. Step 2: Convert to fraction form
    192,700/265,926 = 107,833.47/x
  3. Step 3: Cross multiply
    192,700x = 265,926 × 107,833.47
  4. Step 4: Simplify right side
    192,700x = 28,675,723,343.22
  5. Step 5: Solve for x
    x = 28,675,723,343.22/192,700
  6. Step 6: Final answer
    x = 148,810.19

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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.