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Finding the Fourth Proportional to 205,117.68, 283,053.24 and 114,468.72

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Solution

The fourth proportional to 205,117.68, 283,053.24 and 114,468.72 is: 157,961.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,117.68 : 283,053.24 = 114,468.72 : x
  2. Step 2: Convert to fraction form
    205,117.68/283,053.24 = 114,468.72/x
  3. Step 3: Cross multiply
    205,117.68x = 283,053.24 × 114,468.72
  4. Step 4: Simplify right side
    205,117.68x = 32,400,742,074.65
  5. Step 5: Solve for x
    x = 32,400,742,074.65/205,117.68
  6. Step 6: Final answer
    x = 157,961.72

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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.