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Finding the Fourth Proportional to 199,654.80, 275,547.81 and 113,634.72

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Solution

The fourth proportional to 199,654.80, 275,547.81 and 113,634.72 is: 156,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,654.80 : 275,547.81 = 113,634.72 : x
  2. Step 2: Convert to fraction form
    199,654.80/275,547.81 = 113,634.72/x
  3. Step 3: Cross multiply
    199,654.80x = 275,547.81 × 113,634.72
  4. Step 4: Simplify right side
    199,654.80x = 31,311,798,235.96
  5. Step 5: Solve for x
    x = 31,311,798,235.96/199,654.80
  6. Step 6: Final answer
    x = 156,829.68

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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.