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Finding the Fourth Proportional to 176,772, 265,093.20 and 58,409.76

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Solution

The fourth proportional to 176,772, 265,093.20 and 58,409.76 is: 87,593.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,772 : 265,093.20 = 58,409.76 : x
  2. Step 2: Convert to fraction form
    176,772/265,093.20 = 58,409.76/x
  3. Step 3: Cross multiply
    176,772x = 265,093.20 × 58,409.76
  4. Step 4: Simplify right side
    176,772x = 15,484,030,189.63
  5. Step 5: Solve for x
    x = 15,484,030,189.63/176,772
  6. Step 6: Final answer
    x = 87,593.23

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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.