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Finding the Fourth Proportional to 176,436.80, 264,768.60 and 97,607.60

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Solution

The fourth proportional to 176,436.80, 264,768.60 and 97,607.60 is: 146,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,436.80 : 264,768.60 = 97,607.60 : x
  2. Step 2: Convert to fraction form
    176,436.80/264,768.60 = 97,607.60/x
  3. Step 3: Cross multiply
    176,436.80x = 264,768.60 × 97,607.60
  4. Step 4: Simplify right side
    176,436.80x = 25,843,427,601.36
  5. Step 5: Solve for x
    x = 25,843,427,601.36/176,436.80
  6. Step 6: Final answer
    x = 146,474.13

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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.