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Finding the Fourth Proportional to 186,401.94, 257,241.95 and 105,836.96

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Solution

The fourth proportional to 186,401.94, 257,241.95 and 105,836.96 is: 146,059.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,401.94 : 257,241.95 = 105,836.96 : x
  2. Step 2: Convert to fraction form
    186,401.94/257,241.95 = 105,836.96/x
  3. Step 3: Cross multiply
    186,401.94x = 257,241.95 × 105,836.96
  4. Step 4: Simplify right side
    186,401.94x = 27,225,705,972.47
  5. Step 5: Solve for x
    x = 27,225,705,972.47/186,401.94
  6. Step 6: Final answer
    x = 146,059.13

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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.