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Finding the Fourth Proportional to 259,761.60, 358,475.76 and 146,562.48

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Solution

The fourth proportional to 259,761.60, 358,475.76 and 146,562.48 is: 202,258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,761.60 : 358,475.76 = 146,562.48 : x
  2. Step 2: Convert to fraction form
    259,761.60/358,475.76 = 146,562.48/x
  3. Step 3: Cross multiply
    259,761.60x = 358,475.76 × 146,562.48
  4. Step 4: Simplify right side
    259,761.60x = 52,539,096,405.48
  5. Step 5: Solve for x
    x = 52,539,096,405.48/259,761.60
  6. Step 6: Final answer
    x = 202,258.90

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Why These Related Problems?

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