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Finding the Fourth Proportional to 186,120.66, 256,892.13 and 105,595.32

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Solution

The fourth proportional to 186,120.66, 256,892.13 and 105,595.32 is: 145,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,120.66 : 256,892.13 = 105,595.32 : x
  2. Step 2: Convert to fraction form
    186,120.66/256,892.13 = 105,595.32/x
  3. Step 3: Cross multiply
    186,120.66x = 256,892.13 × 105,595.32
  4. Step 4: Simplify right side
    186,120.66x = 27,126,606,936.82
  5. Step 5: Solve for x
    x = 27,126,606,936.82/186,120.66
  6. Step 6: Final answer
    x = 145,747.43

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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.