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Finding the Fourth Proportional to 207,065.58, 285,746.73 and 115,184.41

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Solution

The fourth proportional to 207,065.58, 285,746.73 and 115,184.41 is: 158,952.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,065.58 : 285,746.73 = 115,184.41 : x
  2. Step 2: Convert to fraction form
    207,065.58/285,746.73 = 115,184.41/x
  3. Step 3: Cross multiply
    207,065.58x = 285,746.73 × 115,184.41
  4. Step 4: Simplify right side
    207,065.58x = 32,913,568,565.22
  5. Step 5: Solve for x
    x = 32,913,568,565.22/207,065.58
  6. Step 6: Final answer
    x = 158,952.39

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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.