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Finding the Fourth Proportional to 259,615.51, 358,269.21 and 146,438.26

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Solution

The fourth proportional to 259,615.51, 358,269.21 and 146,438.26 is: 202,084.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,615.51 : 358,269.21 = 146,438.26 : x
  2. Step 2: Convert to fraction form
    259,615.51/358,269.21 = 146,438.26/x
  3. Step 3: Cross multiply
    259,615.51x = 358,269.21 × 146,438.26
  4. Step 4: Simplify right side
    259,615.51x = 52,464,318,828.30
  5. Step 5: Solve for x
    x = 52,464,318,828.30/259,615.51
  6. Step 6: Final answer
    x = 202,084.69

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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.