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Finding the Fourth Proportional to 176,567.70, 264,851.55 and 164,817.30

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Solution

The fourth proportional to 176,567.70, 264,851.55 and 164,817.30 is: 247,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,567.70 : 264,851.55 = 164,817.30 : x
  2. Step 2: Convert to fraction form
    176,567.70/264,851.55 = 164,817.30/x
  3. Step 3: Cross multiply
    176,567.70x = 264,851.55 × 164,817.30
  4. Step 4: Simplify right side
    176,567.70x = 43,652,117,371.82
  5. Step 5: Solve for x
    x = 43,652,117,371.82/176,567.70
  6. Step 6: Final answer
    x = 247,225.95

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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.