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Finding the Fourth Proportional to 176,082, 264,161.88 and 65,274

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Solution

The fourth proportional to 176,082, 264,161.88 and 65,274 is: 97,925.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,082 : 264,161.88 = 65,274 : x
  2. Step 2: Convert to fraction form
    176,082/264,161.88 = 65,274/x
  3. Step 3: Cross multiply
    176,082x = 264,161.88 × 65,274
  4. Step 4: Simplify right side
    176,082x = 17,242,902,555.12
  5. Step 5: Solve for x
    x = 17,242,902,555.12/176,082
  6. Step 6: Final answer
    x = 97,925.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.