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Finding the Fourth Proportional to 186,534.37, 257,417.42 and 101,651.43

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Solution

The fourth proportional to 186,534.37, 257,417.42 and 101,651.43 is: 140,278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,534.37 : 257,417.42 = 101,651.43 : x
  2. Step 2: Convert to fraction form
    186,534.37/257,417.42 = 101,651.43/x
  3. Step 3: Cross multiply
    186,534.37x = 257,417.42 × 101,651.43
  4. Step 4: Simplify right side
    186,534.37x = 26,166,848,849.91
  5. Step 5: Solve for x
    x = 26,166,848,849.91/186,534.37
  6. Step 6: Final answer
    x = 140,278.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.