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Finding the Fourth Proportional to 174,187.80, 260,844.30 and 114,701.40

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Solution

The fourth proportional to 174,187.80, 260,844.30 and 114,701.40 is: 171,764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,187.80 : 260,844.30 = 114,701.40 : x
  2. Step 2: Convert to fraction form
    174,187.80/260,844.30 = 114,701.40/x
  3. Step 3: Cross multiply
    174,187.80x = 260,844.30 × 114,701.40
  4. Step 4: Simplify right side
    174,187.80x = 29,919,206,392.02
  5. Step 5: Solve for x
    x = 29,919,206,392.02/174,187.80
  6. Step 6: Final answer
    x = 171,764.08

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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.