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Finding the Fourth Proportional to 288,004.12, 397,455.23 and 157,188.92

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Solution

The fourth proportional to 288,004.12, 397,455.23 and 157,188.92 is: 216,925.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,004.12 : 397,455.23 = 157,188.92 : x
  2. Step 2: Convert to fraction form
    288,004.12/397,455.23 = 157,188.92/x
  3. Step 3: Cross multiply
    288,004.12x = 397,455.23 × 157,188.92
  4. Step 4: Simplify right side
    288,004.12x = 62,475,558,352.05
  5. Step 5: Solve for x
    x = 62,475,558,352.05/288,004.12
  6. Step 6: Final answer
    x = 216,925.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.