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Finding the Fourth Proportional to 378,130.65, 567,316.22 and 111,892.47

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Solution

The fourth proportional to 378,130.65, 567,316.22 and 111,892.47 is: 167,874.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,130.65 : 567,316.22 = 111,892.47 : x
  2. Step 2: Convert to fraction form
    378,130.65/567,316.22 = 111,892.47/x
  3. Step 3: Cross multiply
    378,130.65x = 567,316.22 × 111,892.47
  4. Step 4: Simplify right side
    378,130.65x = 63,478,412,567.40
  5. Step 5: Solve for x
    x = 63,478,412,567.40/378,130.65
  6. Step 6: Final answer
    x = 167,874.29

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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.