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Finding the Fourth Proportional to 176,320.40, 264,631.80 and 71,214.80

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Solution

The fourth proportional to 176,320.40, 264,631.80 and 71,214.80 is: 106,883.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,320.40 : 264,631.80 = 71,214.80 : x
  2. Step 2: Convert to fraction form
    176,320.40/264,631.80 = 71,214.80/x
  3. Step 3: Cross multiply
    176,320.40x = 264,631.80 × 71,214.80
  4. Step 4: Simplify right side
    176,320.40x = 18,845,700,710.64
  5. Step 5: Solve for x
    x = 18,845,700,710.64/176,320.40
  6. Step 6: Final answer
    x = 106,883.27

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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.