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Finding the Fourth Proportional to 231,420.42, 319,355.88 and 130,818.42

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Solution

The fourth proportional to 231,420.42, 319,355.88 and 130,818.42 is: 180,526.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,420.42 : 319,355.88 = 130,818.42 : x
  2. Step 2: Convert to fraction form
    231,420.42/319,355.88 = 130,818.42/x
  3. Step 3: Cross multiply
    231,420.42x = 319,355.88 × 130,818.42
  4. Step 4: Simplify right side
    231,420.42x = 41,777,631,639.31
  5. Step 5: Solve for x
    x = 41,777,631,639.31/231,420.42
  6. Step 6: Final answer
    x = 180,526.99

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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.