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Finding the Fourth Proportional to 174,971.70, 262,457.55 and 172,055.70

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Solution

The fourth proportional to 174,971.70, 262,457.55 and 172,055.70 is: 258,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,971.70 : 262,457.55 = 172,055.70 : x
  2. Step 2: Convert to fraction form
    174,971.70/262,457.55 = 172,055.70/x
  3. Step 3: Cross multiply
    174,971.70x = 262,457.55 × 172,055.70
  4. Step 4: Simplify right side
    174,971.70x = 45,157,317,485.54
  5. Step 5: Solve for x
    x = 45,157,317,485.54/174,971.70
  6. Step 6: Final answer
    x = 258,083.55

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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.