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Finding the Fourth Proportional to 363,409.50, 545,071.31 and 97,190.65

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Solution

The fourth proportional to 363,409.50, 545,071.31 and 97,190.65 is: 145,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,409.50 : 545,071.31 = 97,190.65 : x
  2. Step 2: Convert to fraction form
    363,409.50/545,071.31 = 97,190.65/x
  3. Step 3: Cross multiply
    363,409.50x = 545,071.31 × 97,190.65
  4. Step 4: Simplify right side
    363,409.50x = 52,975,834,915.25
  5. Step 5: Solve for x
    x = 52,975,834,915.25/363,409.50
  6. Step 6: Final answer
    x = 145,774.49

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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.