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Finding the Fourth Proportional to 209,934.80, 314,902.20 and 85,365.20

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Solution

The fourth proportional to 209,934.80, 314,902.20 and 85,365.20 is: 128,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,934.80 : 314,902.20 = 85,365.20 : x
  2. Step 2: Convert to fraction form
    209,934.80/314,902.20 = 85,365.20/x
  3. Step 3: Cross multiply
    209,934.80x = 314,902.20 × 85,365.20
  4. Step 4: Simplify right side
    209,934.80x = 26,881,689,283.44
  5. Step 5: Solve for x
    x = 26,881,689,283.44/209,934.80
  6. Step 6: Final answer
    x = 128,047.80

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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.