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Finding the Fourth Proportional to 186,226.74, 256,998.72 and 105,657.66

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Solution

The fourth proportional to 186,226.74, 256,998.72 and 105,657.66 is: 145,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,226.74 : 256,998.72 = 105,657.66 : x
  2. Step 2: Convert to fraction form
    186,226.74/256,998.72 = 105,657.66/x
  3. Step 3: Cross multiply
    186,226.74x = 256,998.72 × 105,657.66
  4. Step 4: Simplify right side
    186,226.74x = 27,153,883,378.20
  5. Step 5: Solve for x
    x = 27,153,883,378.20/186,226.74
  6. Step 6: Final answer
    x = 145,810.87

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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.