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Finding the Fourth Proportional to 176,564.30, 264,959.85 and 97,735.10

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Solution

The fourth proportional to 176,564.30, 264,959.85 and 97,735.10 is: 146,665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,564.30 : 264,959.85 = 97,735.10 : x
  2. Step 2: Convert to fraction form
    176,564.30/264,959.85 = 97,735.10/x
  3. Step 3: Cross multiply
    176,564.30x = 264,959.85 × 97,735.10
  4. Step 4: Simplify right side
    176,564.30x = 25,895,877,435.74
  5. Step 5: Solve for x
    x = 25,895,877,435.74/176,564.30
  6. Step 6: Final answer
    x = 146,665.42

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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.