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Finding the Fourth Proportional to 259,708.14, 358,397.58 and 146,541.42

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Solution

The fourth proportional to 259,708.14, 358,397.58 and 146,541.42 is: 202,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,708.14 : 358,397.58 = 146,541.42 : x
  2. Step 2: Convert to fraction form
    259,708.14/358,397.58 = 146,541.42/x
  3. Step 3: Cross multiply
    259,708.14x = 358,397.58 × 146,541.42
  4. Step 4: Simplify right side
    259,708.14x = 52,520,090,297.76
  5. Step 5: Solve for x
    x = 52,520,090,297.76/259,708.14
  6. Step 6: Final answer
    x = 202,227.36

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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.