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Finding the Fourth Proportional to 140,931.42, 194,487.27 and 77,269.08

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Solution

The fourth proportional to 140,931.42, 194,487.27 and 77,269.08 is: 106,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,931.42 : 194,487.27 = 77,269.08 : x
  2. Step 2: Convert to fraction form
    140,931.42/194,487.27 = 77,269.08/x
  3. Step 3: Cross multiply
    140,931.42x = 194,487.27 × 77,269.08
  4. Step 4: Simplify right side
    140,931.42x = 15,027,852,424.61
  5. Step 5: Solve for x
    x = 15,027,852,424.61/140,931.42
  6. Step 6: Final answer
    x = 106,632.38

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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.