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Finding the Fourth Proportional to 176,564.90, 264,847.35 and 97,832.90

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Solution

The fourth proportional to 176,564.90, 264,847.35 and 97,832.90 is: 146,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,564.90 : 264,847.35 = 97,832.90 : x
  2. Step 2: Convert to fraction form
    176,564.90/264,847.35 = 97,832.90/x
  3. Step 3: Cross multiply
    176,564.90x = 264,847.35 × 97,832.90
  4. Step 4: Simplify right side
    176,564.90x = 25,910,784,307.82
  5. Step 5: Solve for x
    x = 25,910,784,307.82/176,564.90
  6. Step 6: Final answer
    x = 146,749.35

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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.