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Finding the Fourth Proportional to 186,538.67, 257,415.86 and 101,653.91

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Solution

The fourth proportional to 186,538.67, 257,415.86 and 101,653.91 is: 140,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,538.67 : 257,415.86 = 101,653.91 : x
  2. Step 2: Convert to fraction form
    186,538.67/257,415.86 = 101,653.91/x
  3. Step 3: Cross multiply
    186,538.67x = 257,415.86 × 101,653.91
  4. Step 4: Simplify right side
    186,538.67x = 26,167,327,632.07
  5. Step 5: Solve for x
    x = 26,167,327,632.07/186,538.67
  6. Step 6: Final answer
    x = 140,278.30

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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.