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Finding the Fourth Proportional to 209,716.80, 314,575.20 and 104,740.80

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Solution

The fourth proportional to 209,716.80, 314,575.20 and 104,740.80 is: 157,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,716.80 : 314,575.20 = 104,740.80 : x
  2. Step 2: Convert to fraction form
    209,716.80/314,575.20 = 104,740.80/x
  3. Step 3: Cross multiply
    209,716.80x = 314,575.20 × 104,740.80
  4. Step 4: Simplify right side
    209,716.80x = 32,948,858,108.16
  5. Step 5: Solve for x
    x = 32,948,858,108.16/209,716.80
  6. Step 6: Final answer
    x = 157,111.20

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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.