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Finding the Fourth Proportional to 186,065.82, 256,776.21 and 114,487.74

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Solution

The fourth proportional to 186,065.82, 256,776.21 and 114,487.74 is: 157,996.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,065.82 : 256,776.21 = 114,487.74 : x
  2. Step 2: Convert to fraction form
    186,065.82/256,776.21 = 114,487.74/x
  3. Step 3: Cross multiply
    186,065.82x = 256,776.21 × 114,487.74
  4. Step 4: Simplify right side
    186,065.82x = 29,397,727,968.67
  5. Step 5: Solve for x
    x = 29,397,727,968.67/186,065.82
  6. Step 6: Final answer
    x = 157,996.39

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1.5x scale

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.