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Finding the Fourth Proportional to 278,103.90, 383,783.82 and 150,779.82

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Solution

The fourth proportional to 278,103.90, 383,783.82 and 150,779.82 is: 208,076.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,103.90 : 383,783.82 = 150,779.82 : x
  2. Step 2: Convert to fraction form
    278,103.90/383,783.82 = 150,779.82/x
  3. Step 3: Cross multiply
    278,103.90x = 383,783.82 × 150,779.82
  4. Step 4: Simplify right side
    278,103.90x = 57,866,855,298.51
  5. Step 5: Solve for x
    x = 57,866,855,298.51/278,103.90
  6. Step 6: Final answer
    x = 208,076.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.