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Finding the Fourth Proportional to 235,280, 324,686.40 and 129,296

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Solution

The fourth proportional to 235,280, 324,686.40 and 129,296 is: 178,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,280 : 324,686.40 = 129,296 : x
  2. Step 2: Convert to fraction form
    235,280/324,686.40 = 129,296/x
  3. Step 3: Cross multiply
    235,280x = 324,686.40 × 129,296
  4. Step 4: Simplify right side
    235,280x = 41,980,652,774.40
  5. Step 5: Solve for x
    x = 41,980,652,774.40/235,280
  6. Step 6: Final answer
    x = 178,428.48

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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.