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Finding the Fourth Proportional to 195,513.08, 269,800.58 and 109,464

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Solution

The fourth proportional to 195,513.08, 269,800.58 and 109,464 is: 151,056.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,513.08 : 269,800.58 = 109,464 : x
  2. Step 2: Convert to fraction form
    195,513.08/269,800.58 = 109,464/x
  3. Step 3: Cross multiply
    195,513.08x = 269,800.58 × 109,464
  4. Step 4: Simplify right side
    195,513.08x = 29,533,450,689.12
  5. Step 5: Solve for x
    x = 29,533,450,689.12/195,513.08
  6. Step 6: Final answer
    x = 151,056.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.