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Finding the Fourth Proportional to 168,294.24, 232,235.64 and 96,624

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Solution

The fourth proportional to 168,294.24, 232,235.64 and 96,624 is: 133,335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,294.24 : 232,235.64 = 96,624 : x
  2. Step 2: Convert to fraction form
    168,294.24/232,235.64 = 96,624/x
  3. Step 3: Cross multiply
    168,294.24x = 232,235.64 × 96,624
  4. Step 4: Simplify right side
    168,294.24x = 22,439,536,479.36
  5. Step 5: Solve for x
    x = 22,439,536,479.36/168,294.24
  6. Step 6: Final answer
    x = 133,335.14

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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.