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Finding the Fourth Proportional to 357,461.83, 536,192.29 and 91,222.35

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Solution

The fourth proportional to 357,461.83, 536,192.29 and 91,222.35 is: 136,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,461.83 : 536,192.29 = 91,222.35 : x
  2. Step 2: Convert to fraction form
    357,461.83/536,192.29 = 91,222.35/x
  3. Step 3: Cross multiply
    357,461.83x = 536,192.29 × 91,222.35
  4. Step 4: Simplify right side
    357,461.83x = 48,912,720,745.68
  5. Step 5: Solve for x
    x = 48,912,720,745.68/357,461.83
  6. Step 6: Final answer
    x = 136,833.41

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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.