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Finding the Fourth Proportional to 176,666.40, 264,902.40 and 76,809.60

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Solution

The fourth proportional to 176,666.40, 264,902.40 and 76,809.60 is: 115,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,666.40 : 264,902.40 = 76,809.60 : x
  2. Step 2: Convert to fraction form
    176,666.40/264,902.40 = 76,809.60/x
  3. Step 3: Cross multiply
    176,666.40x = 264,902.40 × 76,809.60
  4. Step 4: Simplify right side
    176,666.40x = 20,347,047,383.04
  5. Step 5: Solve for x
    x = 20,347,047,383.04/176,666.40
  6. Step 6: Final answer
    x = 115,172.14

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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.