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Finding the Fourth Proportional to 364,037.80, 546,056.70 and 97,825.23

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Solution

The fourth proportional to 364,037.80, 546,056.70 and 97,825.23 is: 146,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,037.80 : 546,056.70 = 97,825.23 : x
  2. Step 2: Convert to fraction form
    364,037.80/546,056.70 = 97,825.23/x
  3. Step 3: Cross multiply
    364,037.80x = 546,056.70 × 97,825.23
  4. Step 4: Simplify right side
    364,037.80x = 53,418,122,270.54
  5. Step 5: Solve for x
    x = 53,418,122,270.54/364,037.80
  6. Step 6: Final answer
    x = 146,737.85

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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.