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Finding the Fourth Proportional to 313,680.66, 470,256.49 and 136,053.89

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Solution

The fourth proportional to 313,680.66, 470,256.49 and 136,053.89 is: 203,966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,680.66 : 470,256.49 = 136,053.89 : x
  2. Step 2: Convert to fraction form
    313,680.66/470,256.49 = 136,053.89/x
  3. Step 3: Cross multiply
    313,680.66x = 470,256.49 × 136,053.89
  4. Step 4: Simplify right side
    313,680.66x = 63,980,224,081.98
  5. Step 5: Solve for x
    x = 63,980,224,081.98/313,680.66
  6. Step 6: Final answer
    x = 203,966.11

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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.