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Finding the Fourth Proportional to 183,784.80, 275,312.70 and 161,866.20

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Solution

The fourth proportional to 183,784.80, 275,312.70 and 161,866.20 is: 242,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,784.80 : 275,312.70 = 161,866.20 : x
  2. Step 2: Convert to fraction form
    183,784.80/275,312.70 = 161,866.20/x
  3. Step 3: Cross multiply
    183,784.80x = 275,312.70 × 161,866.20
  4. Step 4: Simplify right side
    183,784.80x = 44,563,820,560.74
  5. Step 5: Solve for x
    x = 44,563,820,560.74/183,784.80
  6. Step 6: Final answer
    x = 242,478.27

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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.