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Finding the Fourth Proportional to 260,022.11, 358,823.64 and 145,301.70

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Solution

The fourth proportional to 260,022.11, 358,823.64 and 145,301.70 is: 200,512.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,022.11 : 358,823.64 = 145,301.70 : x
  2. Step 2: Convert to fraction form
    260,022.11/358,823.64 = 145,301.70/x
  3. Step 3: Cross multiply
    260,022.11x = 358,823.64 × 145,301.70
  4. Step 4: Simplify right side
    260,022.11x = 52,137,684,892.19
  5. Step 5: Solve for x
    x = 52,137,684,892.19/260,022.11
  6. Step 6: Final answer
    x = 200,512.51

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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.