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Finding the Fourth Proportional to 259,138.68, 357,622.44 and 144,417.48

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Solution

The fourth proportional to 259,138.68, 357,622.44 and 144,417.48 is: 199,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,138.68 : 357,622.44 = 144,417.48 : x
  2. Step 2: Convert to fraction form
    259,138.68/357,622.44 = 144,417.48/x
  3. Step 3: Cross multiply
    259,138.68x = 357,622.44 × 144,417.48
  4. Step 4: Simplify right side
    259,138.68x = 51,646,931,576.25
  5. Step 5: Solve for x
    x = 51,646,931,576.25/259,138.68
  6. Step 6: Final answer
    x = 199,302.29

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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.