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Finding the Fourth Proportional to 254,775.92, 382,164.80 and 77,284.48

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Solution

The fourth proportional to 254,775.92, 382,164.80 and 77,284.48 is: 115,927.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,775.92 : 382,164.80 = 77,284.48 : x
  2. Step 2: Convert to fraction form
    254,775.92/382,164.80 = 77,284.48/x
  3. Step 3: Cross multiply
    254,775.92x = 382,164.80 × 77,284.48
  4. Step 4: Simplify right side
    254,775.92x = 29,535,407,842.30
  5. Step 5: Solve for x
    x = 29,535,407,842.30/254,775.92
  6. Step 6: Final answer
    x = 115,927.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.