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Finding the Fourth Proportional to 174,705, 262,057.50 and 43,377

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Solution

The fourth proportional to 174,705, 262,057.50 and 43,377 is: 65,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,705 : 262,057.50 = 43,377 : x
  2. Step 2: Convert to fraction form
    174,705/262,057.50 = 43,377/x
  3. Step 3: Cross multiply
    174,705x = 262,057.50 × 43,377
  4. Step 4: Simplify right side
    174,705x = 11,367,268,177.50
  5. Step 5: Solve for x
    x = 11,367,268,177.50/174,705
  6. Step 6: Final answer
    x = 65,065.50

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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.