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Finding the Fourth Proportional to 255,779.54, 383,779.86 and 137,312.54

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Solution

The fourth proportional to 255,779.54, 383,779.86 and 137,312.54 is: 206,028.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,779.54 : 383,779.86 = 137,312.54 : x
  2. Step 2: Convert to fraction form
    255,779.54/383,779.86 = 137,312.54/x
  3. Step 3: Cross multiply
    255,779.54x = 383,779.86 × 137,312.54
  4. Step 4: Simplify right side
    255,779.54x = 52,697,787,377.44
  5. Step 5: Solve for x
    x = 52,697,787,377.44/255,779.54
  6. Step 6: Final answer
    x = 206,028.16

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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.