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Finding the Fourth Proportional to 182,205.60, 272,847.60 and 145,341.60

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Solution

The fourth proportional to 182,205.60, 272,847.60 and 145,341.60 is: 217,644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,205.60 : 272,847.60 = 145,341.60 : x
  2. Step 2: Convert to fraction form
    182,205.60/272,847.60 = 145,341.60/x
  3. Step 3: Cross multiply
    182,205.60x = 272,847.60 × 145,341.60
  4. Step 4: Simplify right side
    182,205.60x = 39,656,106,740.16
  5. Step 5: Solve for x
    x = 39,656,106,740.16/182,205.60
  6. Step 6: Final answer
    x = 217,644.83

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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.