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Finding the Fourth Proportional to 378,155.03, 567,337.95 and 164,941.97

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Solution

The fourth proportional to 378,155.03, 567,337.95 and 164,941.97 is: 247,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,155.03 : 567,337.95 = 164,941.97 : x
  2. Step 2: Convert to fraction form
    378,155.03/567,337.95 = 164,941.97/x
  3. Step 3: Cross multiply
    378,155.03x = 567,337.95 × 164,941.97
  4. Step 4: Simplify right side
    378,155.03x = 93,577,836,292.07
  5. Step 5: Solve for x
    x = 93,577,836,292.07/378,155.03
  6. Step 6: Final answer
    x = 247,458.93

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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.