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Finding the Fourth Proportional to 208,397.94, 287,589.44 and 112,904.64

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Solution

The fourth proportional to 208,397.94, 287,589.44 and 112,904.64 is: 155,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,397.94 : 287,589.44 = 112,904.64 : x
  2. Step 2: Convert to fraction form
    208,397.94/287,589.44 = 112,904.64/x
  3. Step 3: Cross multiply
    208,397.94x = 287,589.44 × 112,904.64
  4. Step 4: Simplify right side
    208,397.94x = 32,470,181,101.22
  5. Step 5: Solve for x
    x = 32,470,181,101.22/208,397.94
  6. Step 6: Final answer
    x = 155,808.55

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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.