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Finding the Fourth Proportional to 152,433.28, 210,172.08 and 112,024

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Solution

The fourth proportional to 152,433.28, 210,172.08 and 112,024 is: 154,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,433.28 : 210,172.08 = 112,024 : x
  2. Step 2: Convert to fraction form
    152,433.28/210,172.08 = 112,024/x
  3. Step 3: Cross multiply
    152,433.28x = 210,172.08 × 112,024
  4. Step 4: Simplify right side
    152,433.28x = 23,544,317,089.92
  5. Step 5: Solve for x
    x = 23,544,317,089.92/152,433.28
  6. Step 6: Final answer
    x = 154,456.54

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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.