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Finding the Fourth Proportional to 378,044.61, 567,048.07 and 141,369.90

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Solution

The fourth proportional to 378,044.61, 567,048.07 and 141,369.90 is: 212,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,044.61 : 567,048.07 = 141,369.90 : x
  2. Step 2: Convert to fraction form
    378,044.61/567,048.07 = 141,369.90/x
  3. Step 3: Cross multiply
    378,044.61x = 567,048.07 × 141,369.90
  4. Step 4: Simplify right side
    378,044.61x = 80,163,528,951.09
  5. Step 5: Solve for x
    x = 80,163,528,951.09/378,044.61
  6. Step 6: Final answer
    x = 212,047.80

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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.