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Finding the Fourth Proportional to 176,722.72, 265,108.64 and 56,783.28

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Solution

The fourth proportional to 176,722.72, 265,108.64 and 56,783.28 is: 85,182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,722.72 : 265,108.64 = 56,783.28 : x
  2. Step 2: Convert to fraction form
    176,722.72/265,108.64 = 56,783.28/x
  3. Step 3: Cross multiply
    176,722.72x = 265,108.64 × 56,783.28
  4. Step 4: Simplify right side
    176,722.72x = 15,053,738,135.54
  5. Step 5: Solve for x
    x = 15,053,738,135.54/176,722.72
  6. Step 6: Final answer
    x = 85,182.81

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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.