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Finding the Fourth Proportional to 313,096.07, 432,072.74 and 169,856.10

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Solution

The fourth proportional to 313,096.07, 432,072.74 and 169,856.10 is: 234,401.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,096.07 : 432,072.74 = 169,856.10 : x
  2. Step 2: Convert to fraction form
    313,096.07/432,072.74 = 169,856.10/x
  3. Step 3: Cross multiply
    313,096.07x = 432,072.74 × 169,856.10
  4. Step 4: Simplify right side
    313,096.07x = 73,390,190,532.71
  5. Step 5: Solve for x
    x = 73,390,190,532.71/313,096.07
  6. Step 6: Final answer
    x = 234,401.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.