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Finding the Fourth Proportional to 313,930.74, 470,885.54 and 136,437.77

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Solution

The fourth proportional to 313,930.74, 470,885.54 and 136,437.77 is: 204,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,930.74 : 470,885.54 = 136,437.77 : x
  2. Step 2: Convert to fraction form
    313,930.74/470,885.54 = 136,437.77/x
  3. Step 3: Cross multiply
    313,930.74x = 470,885.54 × 136,437.77
  4. Step 4: Simplify right side
    313,930.74x = 64,246,569,966.23
  5. Step 5: Solve for x
    x = 64,246,569,966.23/313,930.74
  6. Step 6: Final answer
    x = 204,652.05

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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.