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Finding the Fourth Proportional to 417,682.18, 626,523.27 and 102,135.34

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Solution

The fourth proportional to 417,682.18, 626,523.27 and 102,135.34 is: 153,203.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,682.18 : 626,523.27 = 102,135.34 : x
  2. Step 2: Convert to fraction form
    417,682.18/626,523.27 = 102,135.34/x
  3. Step 3: Cross multiply
    417,682.18x = 626,523.27 × 102,135.34
  4. Step 4: Simplify right side
    417,682.18x = 63,990,167,199.36
  5. Step 5: Solve for x
    x = 63,990,167,199.36/417,682.18
  6. Step 6: Final answer
    x = 153,203.01

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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.