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Finding the Fourth Proportional to 240,896, 332,436.48 and 146,688

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Solution

The fourth proportional to 240,896, 332,436.48 and 146,688 is: 202,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,896 : 332,436.48 = 146,688 : x
  2. Step 2: Convert to fraction form
    240,896/332,436.48 = 146,688/x
  3. Step 3: Cross multiply
    240,896x = 332,436.48 × 146,688
  4. Step 4: Simplify right side
    240,896x = 48,764,442,378.24
  5. Step 5: Solve for x
    x = 48,764,442,378.24/240,896
  6. Step 6: Final answer
    x = 202,429.44

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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.