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Finding the Fourth Proportional to 255,155.76, 382,749.36 and 77,676

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Solution

The fourth proportional to 255,155.76, 382,749.36 and 77,676 is: 116,518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,155.76 : 382,749.36 = 77,676 : x
  2. Step 2: Convert to fraction form
    255,155.76/382,749.36 = 77,676/x
  3. Step 3: Cross multiply
    255,155.76x = 382,749.36 × 77,676
  4. Step 4: Simplify right side
    255,155.76x = 29,730,439,287.36
  5. Step 5: Solve for x
    x = 29,730,439,287.36/255,155.76
  6. Step 6: Final answer
    x = 116,518.79

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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.