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Finding the Fourth Proportional to 378,542.76, 567,814.14 and 98,060

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Solution

The fourth proportional to 378,542.76, 567,814.14 and 98,060 is: 147,090

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,542.76 : 567,814.14 = 98,060 : x
  2. Step 2: Convert to fraction form
    378,542.76/567,814.14 = 98,060/x
  3. Step 3: Cross multiply
    378,542.76x = 567,814.14 × 98,060
  4. Step 4: Simplify right side
    378,542.76x = 55,679,854,568.40
  5. Step 5: Solve for x
    x = 55,679,854,568.40/378,542.76
  6. Step 6: Final answer
    x = 147,090

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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.