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Finding the Fourth Proportional to 205,683.82, 308,506.29 and 65,417.74

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Solution

The fourth proportional to 205,683.82, 308,506.29 and 65,417.74 is: 98,120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,683.82 : 308,506.29 = 65,417.74 : x
  2. Step 2: Convert to fraction form
    205,683.82/308,506.29 = 65,417.74/x
  3. Step 3: Cross multiply
    205,683.82x = 308,506.29 × 65,417.74
  4. Step 4: Simplify right side
    205,683.82x = 20,181,784,267.58
  5. Step 5: Solve for x
    x = 20,181,784,267.58/205,683.82
  6. Step 6: Final answer
    x = 98,120.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.