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Finding the Fourth Proportional to 209,575.84, 289,217.68 and 114,085.52

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Solution

The fourth proportional to 209,575.84, 289,217.68 and 114,085.52 is: 157,439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,575.84 : 289,217.68 = 114,085.52 : x
  2. Step 2: Convert to fraction form
    209,575.84/289,217.68 = 114,085.52/x
  3. Step 3: Cross multiply
    209,575.84x = 289,217.68 × 114,085.52
  4. Step 4: Simplify right side
    209,575.84x = 32,995,549,415.99
  5. Step 5: Solve for x
    x = 32,995,549,415.99/209,575.84
  6. Step 6: Final answer
    x = 157,439.66

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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.