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Finding the Fourth Proportional to 209,275.84, 288,801.36 and 113,782.24

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Solution

The fourth proportional to 209,275.84, 288,801.36 and 113,782.24 is: 157,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,275.84 : 288,801.36 = 113,782.24 : x
  2. Step 2: Convert to fraction form
    209,275.84/288,801.36 = 113,782.24/x
  3. Step 3: Cross multiply
    209,275.84x = 288,801.36 × 113,782.24
  4. Step 4: Simplify right side
    209,275.84x = 32,860,465,655.85
  5. Step 5: Solve for x
    x = 32,860,465,655.85/209,275.84
  6. Step 6: Final answer
    x = 157,019.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.