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Finding the Fourth Proportional to 176,436.80, 264,655.20 and 97,704.80

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Solution

The fourth proportional to 176,436.80, 264,655.20 and 97,704.80 is: 146,557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,436.80 : 264,655.20 = 97,704.80 : x
  2. Step 2: Convert to fraction form
    176,436.80/264,655.20 = 97,704.80/x
  3. Step 3: Cross multiply
    176,436.80x = 264,655.20 × 97,704.80
  4. Step 4: Simplify right side
    176,436.80x = 25,858,083,384.96
  5. Step 5: Solve for x
    x = 25,858,083,384.96/176,436.80
  6. Step 6: Final answer
    x = 146,557.20

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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.