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Finding the Fourth Proportional to 176,343.64, 264,576.90 and 65,567.32

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Solution

The fourth proportional to 176,343.64, 264,576.90 and 65,567.32 is: 98,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,343.64 : 264,576.90 = 65,567.32 : x
  2. Step 2: Convert to fraction form
    176,343.64/264,576.90 = 65,567.32/x
  3. Step 3: Cross multiply
    176,343.64x = 264,576.90 × 65,567.32
  4. Step 4: Simplify right side
    176,343.64x = 17,347,598,266.91
  5. Step 5: Solve for x
    x = 17,347,598,266.91/176,343.64
  6. Step 6: Final answer
    x = 98,373.82

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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.