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Finding the Fourth Proportional to 313,141.38, 432,089.16 and 175,313.18

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Solution

The fourth proportional to 313,141.38, 432,089.16 and 175,313.18 is: 241,906.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,141.38 : 432,089.16 = 175,313.18 : x
  2. Step 2: Convert to fraction form
    313,141.38/432,089.16 = 175,313.18/x
  3. Step 3: Cross multiply
    313,141.38x = 432,089.16 × 175,313.18
  4. Step 4: Simplify right side
    313,141.38x = 75,750,924,683.13
  5. Step 5: Solve for x
    x = 75,750,924,683.13/313,141.38
  6. Step 6: Final answer
    x = 241,906.47

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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.