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Finding the Fourth Proportional to 357,136.20, 535,703.76 and 146,625.84

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Solution

The fourth proportional to 357,136.20, 535,703.76 and 146,625.84 is: 219,938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,136.20 : 535,703.76 = 146,625.84 : x
  2. Step 2: Convert to fraction form
    357,136.20/535,703.76 = 146,625.84/x
  3. Step 3: Cross multiply
    357,136.20x = 535,703.76 × 146,625.84
  4. Step 4: Simplify right side
    357,136.20x = 78,548,013,801.16
  5. Step 5: Solve for x
    x = 78,548,013,801.16/357,136.20
  6. Step 6: Final answer
    x = 219,938.54

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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.