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Finding the Fourth Proportional to 176,540.40, 264,421.80 and 123,663.60

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Solution

The fourth proportional to 176,540.40, 264,421.80 and 123,663.60 is: 185,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,540.40 : 264,421.80 = 123,663.60 : x
  2. Step 2: Convert to fraction form
    176,540.40/264,421.80 = 123,663.60/x
  3. Step 3: Cross multiply
    176,540.40x = 264,421.80 × 123,663.60
  4. Step 4: Simplify right side
    176,540.40x = 32,699,351,706.48
  5. Step 5: Solve for x
    x = 32,699,351,706.48/176,540.40
  6. Step 6: Final answer
    x = 185,223.05

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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.