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Finding the Fourth Proportional to 186,434.84, 279,657.12 and 46,191.44

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Solution

The fourth proportional to 186,434.84, 279,657.12 and 46,191.44 is: 69,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,434.84 : 279,657.12 = 46,191.44 : x
  2. Step 2: Convert to fraction form
    186,434.84/279,657.12 = 46,191.44/x
  3. Step 3: Cross multiply
    186,434.84x = 279,657.12 × 46,191.44
  4. Step 4: Simplify right side
    186,434.84x = 12,917,765,079.05
  5. Step 5: Solve for x
    x = 12,917,765,079.05/186,434.84
  6. Step 6: Final answer
    x = 69,288.36

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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.