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Finding the Fourth Proportional to 186,278.88, 257,057.12 and 101,396

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Solution

The fourth proportional to 186,278.88, 257,057.12 and 101,396 is: 139,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,278.88 : 257,057.12 = 101,396 : x
  2. Step 2: Convert to fraction form
    186,278.88/257,057.12 = 101,396/x
  3. Step 3: Cross multiply
    186,278.88x = 257,057.12 × 101,396
  4. Step 4: Simplify right side
    186,278.88x = 26,064,563,739.52
  5. Step 5: Solve for x
    x = 26,064,563,739.52/186,278.88
  6. Step 6: Final answer
    x = 139,922.27

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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.