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Finding the Fourth Proportional to 186,382.90, 257,212.50 and 101,499.98

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Solution

The fourth proportional to 186,382.90, 257,212.50 and 101,499.98 is: 140,072.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,382.90 : 257,212.50 = 101,499.98 : x
  2. Step 2: Convert to fraction form
    186,382.90/257,212.50 = 101,499.98/x
  3. Step 3: Cross multiply
    186,382.90x = 257,212.50 × 101,499.98
  4. Step 4: Simplify right side
    186,382.90x = 26,107,063,605.75
  5. Step 5: Solve for x
    x = 26,107,063,605.75/186,382.90
  6. Step 6: Final answer
    x = 140,072.20

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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.