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Finding the Fourth Proportional to 186,232, 256,955.34 and 109,754.14

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Solution

The fourth proportional to 186,232, 256,955.34 and 109,754.14 is: 151,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,232 : 256,955.34 = 109,754.14 : x
  2. Step 2: Convert to fraction form
    186,232/256,955.34 = 109,754.14/x
  3. Step 3: Cross multiply
    186,232x = 256,955.34 × 109,754.14
  4. Step 4: Simplify right side
    186,232x = 28,201,912,360.11
  5. Step 5: Solve for x
    x = 28,201,912,360.11/186,232
  6. Step 6: Final answer
    x = 151,434.30

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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.