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Finding the Fourth Proportional to 186,460.79, 257,315.94 and 101,577.83

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Solution

The fourth proportional to 186,460.79, 257,315.94 and 101,577.83 is: 140,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,460.79 : 257,315.94 = 101,577.83 : x
  2. Step 2: Convert to fraction form
    186,460.79/257,315.94 = 101,577.83/x
  3. Step 3: Cross multiply
    186,460.79x = 257,315.94 × 101,577.83
  4. Step 4: Simplify right side
    186,460.79x = 26,137,593,523.03
  5. Step 5: Solve for x
    x = 26,137,593,523.03/186,460.79
  6. Step 6: Final answer
    x = 140,177.43

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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.