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Finding the Fourth Proportional to 252,084.96, 378,185.76 and 111,854.52

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Solution

The fourth proportional to 252,084.96, 378,185.76 and 111,854.52 is: 167,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,084.96 : 378,185.76 = 111,854.52 : x
  2. Step 2: Convert to fraction form
    252,084.96/378,185.76 = 111,854.52/x
  3. Step 3: Cross multiply
    252,084.96x = 378,185.76 × 111,854.52
  4. Step 4: Simplify right side
    252,084.96x = 42,301,786,655.64
  5. Step 5: Solve for x
    x = 42,301,786,655.64/252,084.96
  6. Step 6: Final answer
    x = 167,807.66

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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.