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Finding the Fourth Proportional to 231,606.81, 319,590.54 and 129,637.98

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Solution

The fourth proportional to 231,606.81, 319,590.54 and 129,637.98 is: 178,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,606.81 : 319,590.54 = 129,637.98 : x
  2. Step 2: Convert to fraction form
    231,606.81/319,590.54 = 129,637.98/x
  3. Step 3: Cross multiply
    231,606.81x = 319,590.54 × 129,637.98
  4. Step 4: Simplify right side
    231,606.81x = 41,431,072,032.71
  5. Step 5: Solve for x
    x = 41,431,072,032.71/231,606.81
  6. Step 6: Final answer
    x = 178,885.38

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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.