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Finding the Fourth Proportional to 208,479.96, 287,701.62 and 112,989

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Solution

The fourth proportional to 208,479.96, 287,701.62 and 112,989 is: 155,924.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,479.96 : 287,701.62 = 112,989 : x
  2. Step 2: Convert to fraction form
    208,479.96/287,701.62 = 112,989/x
  3. Step 3: Cross multiply
    208,479.96x = 287,701.62 × 112,989
  4. Step 4: Simplify right side
    208,479.96x = 32,507,118,342.18
  5. Step 5: Solve for x
    x = 32,507,118,342.18/208,479.96
  6. Step 6: Final answer
    x = 155,924.43

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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.