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Finding the Fourth Proportional to 176,576.40, 264,767.40 and 76,719.60

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Solution

The fourth proportional to 176,576.40, 264,767.40 and 76,719.60 is: 115,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,576.40 : 264,767.40 = 76,719.60 : x
  2. Step 2: Convert to fraction form
    176,576.40/264,767.40 = 76,719.60/x
  3. Step 3: Cross multiply
    176,576.40x = 264,767.40 × 76,719.60
  4. Step 4: Simplify right side
    176,576.40x = 20,312,849,021.04
  5. Step 5: Solve for x
    x = 20,312,849,021.04/176,576.40
  6. Step 6: Final answer
    x = 115,037.17

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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.