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Finding the Fourth Proportional to 153,178.83, 229,737.83 and 145,583.73

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Solution

The fourth proportional to 153,178.83, 229,737.83 and 145,583.73 is: 218,346.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,178.83 : 229,737.83 = 145,583.73 : x
  2. Step 2: Convert to fraction form
    153,178.83/229,737.83 = 145,583.73/x
  3. Step 3: Cross multiply
    153,178.83x = 229,737.83 × 145,583.73
  4. Step 4: Simplify right side
    153,178.83x = 33,446,089,485.59
  5. Step 5: Solve for x
    x = 33,446,089,485.59/153,178.83
  6. Step 6: Final answer
    x = 218,346.68

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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.