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Finding the Fourth Proportional to 186,655.28, 257,578.68 and 101,774

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Solution

The fourth proportional to 186,655.28, 257,578.68 and 101,774 is: 140,445.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,655.28 : 257,578.68 = 101,774 : x
  2. Step 2: Convert to fraction form
    186,655.28/257,578.68 = 101,774/x
  3. Step 3: Cross multiply
    186,655.28x = 257,578.68 × 101,774
  4. Step 4: Simplify right side
    186,655.28x = 26,214,812,578.32
  5. Step 5: Solve for x
    x = 26,214,812,578.32/186,655.28
  6. Step 6: Final answer
    x = 140,445.06

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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.