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Finding the Fourth Proportional to 268,172.96, 402,311.30 and 101,948

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Solution

The fourth proportional to 268,172.96, 402,311.30 and 101,948 is: 152,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,172.96 : 402,311.30 = 101,948 : x
  2. Step 2: Convert to fraction form
    268,172.96/402,311.30 = 101,948/x
  3. Step 3: Cross multiply
    268,172.96x = 402,311.30 × 101,948
  4. Step 4: Simplify right side
    268,172.96x = 41,014,832,412.40
  5. Step 5: Solve for x
    x = 41,014,832,412.40/268,172.96
  6. Step 6: Final answer
    x = 152,941.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.