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Finding the Fourth Proportional to 235,014, 324,319.32 and 129,030

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Solution

The fourth proportional to 235,014, 324,319.32 and 129,030 is: 178,061.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,014 : 324,319.32 = 129,030 : x
  2. Step 2: Convert to fraction form
    235,014/324,319.32 = 129,030/x
  3. Step 3: Cross multiply
    235,014x = 324,319.32 × 129,030
  4. Step 4: Simplify right side
    235,014x = 41,846,921,859.60
  5. Step 5: Solve for x
    x = 41,846,921,859.60/235,014
  6. Step 6: Final answer
    x = 178,061.40

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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.