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Finding the Fourth Proportional to 255,359.52, 383,101.32 and 77,869.68

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Solution

The fourth proportional to 255,359.52, 383,101.32 and 77,869.68 is: 116,823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,359.52 : 383,101.32 = 77,869.68 : x
  2. Step 2: Convert to fraction form
    255,359.52/383,101.32 = 77,869.68/x
  3. Step 3: Cross multiply
    255,359.52x = 383,101.32 × 77,869.68
  4. Step 4: Simplify right side
    255,359.52x = 29,831,977,195.98
  5. Step 5: Solve for x
    x = 29,831,977,195.98/255,359.52
  6. Step 6: Final answer
    x = 116,823.44

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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.