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Finding the Fourth Proportional to 354,041.15, 531,192.95 and 164,603.21

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Solution

The fourth proportional to 354,041.15, 531,192.95 and 164,603.21 is: 246,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,041.15 : 531,192.95 = 164,603.21 : x
  2. Step 2: Convert to fraction form
    354,041.15/531,192.95 = 164,603.21/x
  3. Step 3: Cross multiply
    354,041.15x = 531,192.95 × 164,603.21
  4. Step 4: Simplify right side
    354,041.15x = 87,436,064,699.37
  5. Step 5: Solve for x
    x = 87,436,064,699.37/354,041.15
  6. Step 6: Final answer
    x = 246,965.83

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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.