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Finding the Fourth Proportional to 192,951.32, 266,263.81 and 105,731.93

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Solution

The fourth proportional to 192,951.32, 266,263.81 and 105,731.93 is: 145,905.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,951.32 : 266,263.81 = 105,731.93 : x
  2. Step 2: Convert to fraction form
    192,951.32/266,263.81 = 105,731.93/x
  3. Step 3: Cross multiply
    192,951.32x = 266,263.81 × 105,731.93
  4. Step 4: Simplify right side
    192,951.32x = 28,152,586,921.78
  5. Step 5: Solve for x
    x = 28,152,586,921.78/192,951.32
  6. Step 6: Final answer
    x = 145,905.13

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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.