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Finding the Fourth Proportional to 209,977.80, 314,529.30 and 174,985.80

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Solution

The fourth proportional to 209,977.80, 314,529.30 and 174,985.80 is: 262,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,977.80 : 314,529.30 = 174,985.80 : x
  2. Step 2: Convert to fraction form
    209,977.80/314,529.30 = 174,985.80/x
  3. Step 3: Cross multiply
    209,977.80x = 314,529.30 × 174,985.80
  4. Step 4: Simplify right side
    209,977.80x = 55,038,161,183.94
  5. Step 5: Solve for x
    x = 55,038,161,183.94/209,977.80
  6. Step 6: Final answer
    x = 262,114.19

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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.