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Finding the Fourth Proportional to 175,850.52, 263,798.11 and 55,864.68

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Solution

The fourth proportional to 175,850.52, 263,798.11 and 55,864.68 is: 83,804.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,850.52 : 263,798.11 = 55,864.68 : x
  2. Step 2: Convert to fraction form
    175,850.52/263,798.11 = 55,864.68/x
  3. Step 3: Cross multiply
    175,850.52x = 263,798.11 × 55,864.68
  4. Step 4: Simplify right side
    175,850.52x = 14,736,997,069.59
  5. Step 5: Solve for x
    x = 14,736,997,069.59/175,850.52
  6. Step 6: Final answer
    x = 83,804.11

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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.