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Finding the Fourth Proportional to 140,603.34, 194,032.62 and 76,941.14

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Solution

The fourth proportional to 140,603.34, 194,032.62 and 76,941.14 is: 106,178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,603.34 : 194,032.62 = 76,941.14 : x
  2. Step 2: Convert to fraction form
    140,603.34/194,032.62 = 76,941.14/x
  3. Step 3: Cross multiply
    140,603.34x = 194,032.62 × 76,941.14
  4. Step 4: Simplify right side
    140,603.34x = 14,929,090,009.82
  5. Step 5: Solve for x
    x = 14,929,090,009.82/140,603.34
  6. Step 6: Final answer
    x = 106,178.77

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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.