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Finding the Fourth Proportional to 146,016, 201,501.72 and 78,948

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Solution

The fourth proportional to 146,016, 201,501.72 and 78,948 is: 108,948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,016 : 201,501.72 = 78,948 : x
  2. Step 2: Convert to fraction form
    146,016/201,501.72 = 78,948/x
  3. Step 3: Cross multiply
    146,016x = 201,501.72 × 78,948
  4. Step 4: Simplify right side
    146,016x = 15,908,157,790.56
  5. Step 5: Solve for x
    x = 15,908,157,790.56/146,016
  6. Step 6: Final answer
    x = 108,948.05

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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.