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Finding the Fourth Proportional to 468,447, 702,689.94 and 136,023

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Solution

The fourth proportional to 468,447, 702,689.94 and 136,023 is: 204,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,447 : 702,689.94 = 136,023 : x
  2. Step 2: Convert to fraction form
    468,447/702,689.94 = 136,023/x
  3. Step 3: Cross multiply
    468,447x = 702,689.94 × 136,023
  4. Step 4: Simplify right side
    468,447x = 95,581,993,708.62
  5. Step 5: Solve for x
    x = 95,581,993,708.62/468,447
  6. Step 6: Final answer
    x = 204,040.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.