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Finding the Fourth Proportional to 186,226.84, 256,998.87 and 105,657.76

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Solution

The fourth proportional to 186,226.84, 256,998.87 and 105,657.76 is: 145,811.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,226.84 : 256,998.87 = 105,657.76 : x
  2. Step 2: Convert to fraction form
    186,226.84/256,998.87 = 105,657.76/x
  3. Step 3: Cross multiply
    186,226.84x = 256,998.87 × 105,657.76
  4. Step 4: Simplify right side
    186,226.84x = 27,153,923,113.45
  5. Step 5: Solve for x
    x = 27,153,923,113.45/186,226.84
  6. Step 6: Final answer
    x = 145,811.01

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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.