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Finding the Fourth Proportional to 313,095.83, 432,072.40 and 169,855.85

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Solution

The fourth proportional to 313,095.83, 432,072.40 and 169,855.85 is: 234,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,095.83 : 432,072.40 = 169,855.85 : x
  2. Step 2: Convert to fraction form
    313,095.83/432,072.40 = 169,855.85/x
  3. Step 3: Cross multiply
    313,095.83x = 432,072.40 × 169,855.85
  4. Step 4: Simplify right side
    313,095.83x = 73,390,025,419.08
  5. Step 5: Solve for x
    x = 73,390,025,419.08/313,095.83
  6. Step 6: Final answer
    x = 234,401.16

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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.