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Finding the Fourth Proportional to 186,093.82, 279,140.87 and 45,852.45

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Solution

The fourth proportional to 186,093.82, 279,140.87 and 45,852.45 is: 68,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,093.82 : 279,140.87 = 45,852.45 : x
  2. Step 2: Convert to fraction form
    186,093.82/279,140.87 = 45,852.45/x
  3. Step 3: Cross multiply
    186,093.82x = 279,140.87 × 45,852.45
  4. Step 4: Simplify right side
    186,093.82x = 12,799,291,159.66
  5. Step 5: Solve for x
    x = 12,799,291,159.66/186,093.82
  6. Step 6: Final answer
    x = 68,778.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.