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Finding the Fourth Proportional to 158,285.96, 237,427.02 and 47,477

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Solution

The fourth proportional to 158,285.96, 237,427.02 and 47,477 is: 71,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,285.96 : 237,427.02 = 47,477 : x
  2. Step 2: Convert to fraction form
    158,285.96/237,427.02 = 47,477/x
  3. Step 3: Cross multiply
    158,285.96x = 237,427.02 × 47,477
  4. Step 4: Simplify right side
    158,285.96x = 11,272,322,628.54
  5. Step 5: Solve for x
    x = 11,272,322,628.54/158,285.96
  6. Step 6: Final answer
    x = 71,214.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.