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Finding the Fourth Proportional to 186,357.28, 257,172.86 and 101,474.94

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Solution

The fourth proportional to 186,357.28, 257,172.86 and 101,474.94 is: 140,035.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,357.28 : 257,172.86 = 101,474.94 : x
  2. Step 2: Convert to fraction form
    186,357.28/257,172.86 = 101,474.94/x
  3. Step 3: Cross multiply
    186,357.28x = 257,172.86 × 101,474.94
  4. Step 4: Simplify right side
    186,357.28x = 26,096,600,538.13
  5. Step 5: Solve for x
    x = 26,096,600,538.13/186,357.28
  6. Step 6: Final answer
    x = 140,035.32

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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.