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Finding the Fourth Proportional to 174,735, 262,102.68 and 43,407

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Solution

The fourth proportional to 174,735, 262,102.68 and 43,407 is: 65,110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,735 : 262,102.68 = 43,407 : x
  2. Step 2: Convert to fraction form
    174,735/262,102.68 = 43,407/x
  3. Step 3: Cross multiply
    174,735x = 262,102.68 × 43,407
  4. Step 4: Simplify right side
    174,735x = 11,377,091,030.76
  5. Step 5: Solve for x
    x = 11,377,091,030.76/174,735
  6. Step 6: Final answer
    x = 65,110.54

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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.