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Finding the Fourth Proportional to 176,570.70, 264,856.05 and 164,820.30

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Solution

The fourth proportional to 176,570.70, 264,856.05 and 164,820.30 is: 247,230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,570.70 : 264,856.05 = 164,820.30 : x
  2. Step 2: Convert to fraction form
    176,570.70/264,856.05 = 164,820.30/x
  3. Step 3: Cross multiply
    176,570.70x = 264,856.05 × 164,820.30
  4. Step 4: Simplify right side
    176,570.70x = 43,653,653,617.82
  5. Step 5: Solve for x
    x = 43,653,653,617.82/176,570.70
  6. Step 6: Final answer
    x = 247,230.45

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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.