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Finding the Fourth Proportional to 254,829.76, 382,242.48 and 65,289.76

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Solution

The fourth proportional to 254,829.76, 382,242.48 and 65,289.76 is: 97,934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,829.76 : 382,242.48 = 65,289.76 : x
  2. Step 2: Convert to fraction form
    254,829.76/382,242.48 = 65,289.76/x
  3. Step 3: Cross multiply
    254,829.76x = 382,242.48 × 65,289.76
  4. Step 4: Simplify right side
    254,829.76x = 24,956,519,781.00
  5. Step 5: Solve for x
    x = 24,956,519,781.00/254,829.76
  6. Step 6: Final answer
    x = 97,934.09

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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.