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Finding the Fourth Proportional to 186,352.98, 257,168.70 and 105,780.66

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Solution

The fourth proportional to 186,352.98, 257,168.70 and 105,780.66 is: 145,978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,352.98 : 257,168.70 = 105,780.66 : x
  2. Step 2: Convert to fraction form
    186,352.98/257,168.70 = 105,780.66/x
  3. Step 3: Cross multiply
    186,352.98x = 257,168.70 × 105,780.66
  4. Step 4: Simplify right side
    186,352.98x = 27,203,474,817.34
  5. Step 5: Solve for x
    x = 27,203,474,817.34/186,352.98
  6. Step 6: Final answer
    x = 145,978.21

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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.