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Finding the Fourth Proportional to 208,185.46, 287,434.68 and 140,303.38

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Solution

The fourth proportional to 208,185.46, 287,434.68 and 140,303.38 is: 193,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,185.46 : 287,434.68 = 140,303.38 : x
  2. Step 2: Convert to fraction form
    208,185.46/287,434.68 = 140,303.38/x
  3. Step 3: Cross multiply
    208,185.46x = 287,434.68 × 140,303.38
  4. Step 4: Simplify right side
    208,185.46x = 40,328,057,133.22
  5. Step 5: Solve for x
    x = 40,328,057,133.22/208,185.46
  6. Step 6: Final answer
    x = 193,712.17

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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.