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Finding the Fourth Proportional to 205,547.56, 283,701.36 and 124,958

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Solution

The fourth proportional to 205,547.56, 283,701.36 and 124,958 is: 172,469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,547.56 : 283,701.36 = 124,958 : x
  2. Step 2: Convert to fraction form
    205,547.56/283,701.36 = 124,958/x
  3. Step 3: Cross multiply
    205,547.56x = 283,701.36 × 124,958
  4. Step 4: Simplify right side
    205,547.56x = 35,450,754,542.88
  5. Step 5: Solve for x
    x = 35,450,754,542.88/205,547.56
  6. Step 6: Final answer
    x = 172,469.84

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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.