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Finding the Fourth Proportional to 351,534.11, 527,388.65 and 102,216.11

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Solution

The fourth proportional to 351,534.11, 527,388.65 and 102,216.11 is: 153,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,534.11 : 527,388.65 = 102,216.11 : x
  2. Step 2: Convert to fraction form
    351,534.11/527,388.65 = 102,216.11/x
  3. Step 3: Cross multiply
    351,534.11x = 527,388.65 × 102,216.11
  4. Step 4: Simplify right side
    351,534.11x = 53,907,615,750.07
  5. Step 5: Solve for x
    x = 53,907,615,750.07/351,534.11
  6. Step 6: Final answer
    x = 153,349.60

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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.