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Finding the Fourth Proportional to 174,952.32, 262,458.72 and 56,653.44

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Solution

The fourth proportional to 174,952.32, 262,458.72 and 56,653.44 is: 84,989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,952.32 : 262,458.72 = 56,653.44 : x
  2. Step 2: Convert to fraction form
    174,952.32/262,458.72 = 56,653.44/x
  3. Step 3: Cross multiply
    174,952.32x = 262,458.72 × 56,653.44
  4. Step 4: Simplify right side
    174,952.32x = 14,869,189,346.00
  5. Step 5: Solve for x
    x = 14,869,189,346.00/174,952.32
  6. Step 6: Final answer
    x = 84,989.95

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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.