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Finding the Fourth Proportional to 152,832.40, 229,313.40 and 96,715.60

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Solution

The fourth proportional to 152,832.40, 229,313.40 and 96,715.60 is: 145,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,832.40 : 229,313.40 = 96,715.60 : x
  2. Step 2: Convert to fraction form
    152,832.40/229,313.40 = 96,715.60/x
  3. Step 3: Cross multiply
    152,832.40x = 229,313.40 × 96,715.60
  4. Step 4: Simplify right side
    152,832.40x = 22,178,183,069.04
  5. Step 5: Solve for x
    x = 22,178,183,069.04/152,832.40
  6. Step 6: Final answer
    x = 145,114.41

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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.