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Finding the Fourth Proportional to 209,854.80, 314,782.20 and 76,690.80

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Solution

The fourth proportional to 209,854.80, 314,782.20 and 76,690.80 is: 115,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,854.80 : 314,782.20 = 76,690.80 : x
  2. Step 2: Convert to fraction form
    209,854.80/314,782.20 = 76,690.80/x
  3. Step 3: Cross multiply
    209,854.80x = 314,782.20 × 76,690.80
  4. Step 4: Simplify right side
    209,854.80x = 24,140,898,743.76
  5. Step 5: Solve for x
    x = 24,140,898,743.76/209,854.80
  6. Step 6: Final answer
    x = 115,036.20

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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.