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Finding the Fourth Proportional to 468,445, 702,686.94 and 136,021

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Solution

The fourth proportional to 468,445, 702,686.94 and 136,021 is: 204,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,445 : 702,686.94 = 136,021 : x
  2. Step 2: Convert to fraction form
    468,445/702,686.94 = 136,021/x
  3. Step 3: Cross multiply
    468,445x = 702,686.94 × 136,021
  4. Step 4: Simplify right side
    468,445x = 95,580,180,265.74
  5. Step 5: Solve for x
    x = 95,580,180,265.74/468,445
  6. Step 6: Final answer
    x = 204,037.14

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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.