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Finding the Fourth Proportional to 378,030.20, 567,045.30 and 141,323.90

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Solution

The fourth proportional to 378,030.20, 567,045.30 and 141,323.90 is: 211,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,030.20 : 567,045.30 = 141,323.90 : x
  2. Step 2: Convert to fraction form
    378,030.20/567,045.30 = 141,323.90/x
  3. Step 3: Cross multiply
    378,030.20x = 567,045.30 × 141,323.90
  4. Step 4: Simplify right side
    378,030.20x = 80,137,053,272.67
  5. Step 5: Solve for x
    x = 80,137,053,272.67/378,030.20
  6. Step 6: Final answer
    x = 211,985.85

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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.