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Finding the Fourth Proportional to 231,461.34, 319,403.76 and 129,467.07

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Solution

The fourth proportional to 231,461.34, 319,403.76 and 129,467.07 is: 178,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,461.34 : 319,403.76 = 129,467.07 : x
  2. Step 2: Convert to fraction form
    231,461.34/319,403.76 = 129,467.07/x
  3. Step 3: Cross multiply
    231,461.34x = 319,403.76 × 129,467.07
  4. Step 4: Simplify right side
    231,461.34x = 41,352,268,954.18
  5. Step 5: Solve for x
    x = 41,352,268,954.18/231,461.34
  6. Step 6: Final answer
    x = 178,657.35

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