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Finding the Fourth Proportional to 152,581.96, 210,551.70 and 85,501

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Solution

The fourth proportional to 152,581.96, 210,551.70 and 85,501 is: 117,984.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,581.96 : 210,551.70 = 85,501 : x
  2. Step 2: Convert to fraction form
    152,581.96/210,551.70 = 85,501/x
  3. Step 3: Cross multiply
    152,581.96x = 210,551.70 × 85,501
  4. Step 4: Simplify right side
    152,581.96x = 18,002,380,901.70
  5. Step 5: Solve for x
    x = 18,002,380,901.70/152,581.96
  6. Step 6: Final answer
    x = 117,984.99

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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.