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Finding the Fourth Proportional to 294,327.90, 441,754.29 and 136,645.20

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Solution

The fourth proportional to 294,327.90, 441,754.29 and 136,645.20 is: 205,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,327.90 : 441,754.29 = 136,645.20 : x
  2. Step 2: Convert to fraction form
    294,327.90/441,754.29 = 136,645.20/x
  3. Step 3: Cross multiply
    294,327.90x = 441,754.29 × 136,645.20
  4. Step 4: Simplify right side
    294,327.90x = 60,363,603,307.91
  5. Step 5: Solve for x
    x = 60,363,603,307.91/294,327.90
  6. Step 6: Final answer
    x = 205,089.64

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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.