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Finding the Fourth Proportional to 176,477.60, 264,619.20 and 71,177.60

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Solution

The fourth proportional to 176,477.60, 264,619.20 and 71,177.60 is: 106,727.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,477.60 : 264,619.20 = 71,177.60 : x
  2. Step 2: Convert to fraction form
    176,477.60/264,619.20 = 71,177.60/x
  3. Step 3: Cross multiply
    176,477.60x = 264,619.20 × 71,177.60
  4. Step 4: Simplify right side
    176,477.60x = 18,834,959,569.92
  5. Step 5: Solve for x
    x = 18,834,959,569.92/176,477.60
  6. Step 6: Final answer
    x = 106,727.20

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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.