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Finding the Fourth Proportional to 176,593.84, 264,807.60 and 64,195

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Solution

The fourth proportional to 176,593.84, 264,807.60 and 64,195 is: 96,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,593.84 : 264,807.60 = 64,195 : x
  2. Step 2: Convert to fraction form
    176,593.84/264,807.60 = 64,195/x
  3. Step 3: Cross multiply
    176,593.84x = 264,807.60 × 64,195
  4. Step 4: Simplify right side
    176,593.84x = 16,999,323,882.00
  5. Step 5: Solve for x
    x = 16,999,323,882.00/176,593.84
  6. Step 6: Final answer
    x = 96,262.27

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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.