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Finding the Fourth Proportional to 140,894.72, 194,440.74 and 84,295.16

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Solution

The fourth proportional to 140,894.72, 194,440.74 and 84,295.16 is: 116,330.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,894.72 : 194,440.74 = 84,295.16 : x
  2. Step 2: Convert to fraction form
    140,894.72/194,440.74 = 84,295.16/x
  3. Step 3: Cross multiply
    140,894.72x = 194,440.74 × 84,295.16
  4. Step 4: Simplify right side
    140,894.72x = 16,390,413,288.82
  5. Step 5: Solve for x
    x = 16,390,413,288.82/140,894.72
  6. Step 6: Final answer
    x = 116,330.93

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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.