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Finding the Fourth Proportional to 152,916.02, 229,374.04 and 47,744

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Solution

The fourth proportional to 152,916.02, 229,374.04 and 47,744 is: 71,616.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,916.02 : 229,374.04 = 47,744 : x
  2. Step 2: Convert to fraction form
    152,916.02/229,374.04 = 47,744/x
  3. Step 3: Cross multiply
    152,916.02x = 229,374.04 × 47,744
  4. Step 4: Simplify right side
    152,916.02x = 10,951,234,165.76
  5. Step 5: Solve for x
    x = 10,951,234,165.76/152,916.02
  6. Step 6: Final answer
    x = 71,616.00

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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.