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Finding the Fourth Proportional to 174,666, 241,027.74 and 103,029.60

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Solution

The fourth proportional to 174,666, 241,027.74 and 103,029.60 is: 142,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,666 : 241,027.74 = 103,029.60 : x
  2. Step 2: Convert to fraction form
    174,666/241,027.74 = 103,029.60/x
  3. Step 3: Cross multiply
    174,666x = 241,027.74 × 103,029.60
  4. Step 4: Simplify right side
    174,666x = 24,832,991,641.10
  5. Step 5: Solve for x
    x = 24,832,991,641.10/174,666
  6. Step 6: Final answer
    x = 142,174.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.