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Finding the Fourth Proportional to 341,868.96, 512,871.48 and 105,202.62

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Solution

The fourth proportional to 341,868.96, 512,871.48 and 105,202.62 is: 157,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,868.96 : 512,871.48 = 105,202.62 : x
  2. Step 2: Convert to fraction form
    341,868.96/512,871.48 = 105,202.62/x
  3. Step 3: Cross multiply
    341,868.96x = 512,871.48 × 105,202.62
  4. Step 4: Simplify right side
    341,868.96x = 53,955,423,419.28
  5. Step 5: Solve for x
    x = 53,955,423,419.28/341,868.96
  6. Step 6: Final answer
    x = 157,824.87

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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.