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Finding the Fourth Proportional to 255,911.96, 383,854.10 and 78,419.50

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Solution

The fourth proportional to 255,911.96, 383,854.10 and 78,419.50 is: 117,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,911.96 : 383,854.10 = 78,419.50 : x
  2. Step 2: Convert to fraction form
    255,911.96/383,854.10 = 78,419.50/x
  3. Step 3: Cross multiply
    255,911.96x = 383,854.10 × 78,419.50
  4. Step 4: Simplify right side
    255,911.96x = 30,101,645,243.22
  5. Step 5: Solve for x
    x = 30,101,645,243.22/255,911.96
  6. Step 6: Final answer
    x = 117,625.00

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