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Finding the Fourth Proportional to 178,059.80, 266,744.10 and 99,032.60

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Solution

The fourth proportional to 178,059.80, 266,744.10 and 99,032.60 is: 148,356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,059.80 : 266,744.10 = 99,032.60 : x
  2. Step 2: Convert to fraction form
    178,059.80/266,744.10 = 99,032.60/x
  3. Step 3: Cross multiply
    178,059.80x = 266,744.10 × 99,032.60
  4. Step 4: Simplify right side
    178,059.80x = 26,416,361,757.66
  5. Step 5: Solve for x
    x = 26,416,361,757.66/178,059.80
  6. Step 6: Final answer
    x = 148,356.69

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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.